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Finding the Fourth Proportional to 510.23, 704.13 and 289.19

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Solution

The fourth proportional to 510.23, 704.13 and 289.19 is: 399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.23 : 704.13 = 289.19 : x
  2. Step 2: Convert to fraction form
    510.23/704.13 = 289.19/x
  3. Step 3: Cross multiply
    510.23x = 704.13 × 289.19
  4. Step 4: Simplify right side
    510.23x = 203,627.35
  5. Step 5: Solve for x
    x = 203,627.35/510.23
  6. Step 6: Final answer
    x = 399.09

Related Problems

Find fourth proportional to 255.12, 352.07 and 144.60
Half scale
Find fourth proportional to 1,020.46, 1,408.26 and 578.38
Double scale
Find fourth proportional to 511.23, 705.51 and 290.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.