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Finding the Fourth Proportional to 510.51, 704.07 and 371.10

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Solution

The fourth proportional to 510.51, 704.07 and 371.10 is: 511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.51 : 704.07 = 371.10 : x
  2. Step 2: Convert to fraction form
    510.51/704.07 = 371.10/x
  3. Step 3: Cross multiply
    510.51x = 704.07 × 371.10
  4. Step 4: Simplify right side
    510.51x = 261,280.38
  5. Step 5: Solve for x
    x = 261,280.38/510.51
  6. Step 6: Final answer
    x = 511.80

Related Problems

Find fourth proportional to 255.26, 352.04 and 185.55
Half scale
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Double scale
Find fourth proportional to 511.51, 705.45 and 372.10
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.