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Finding the Fourth Proportional to 510.26, 704.24 and 411.71

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Solution

The fourth proportional to 510.26, 704.24 and 411.71 is: 568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.26 : 704.24 = 411.71 : x
  2. Step 2: Convert to fraction form
    510.26/704.24 = 411.71/x
  3. Step 3: Cross multiply
    510.26x = 704.24 × 411.71
  4. Step 4: Simplify right side
    510.26x = 289,937.07
  5. Step 5: Solve for x
    x = 289,937.07/510.26
  6. Step 6: Final answer
    x = 568.22

Related Problems

Find fourth proportional to 255.13, 352.12 and 205.85
Half scale
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Double scale
Find fourth proportional to 511.26, 705.62 and 412.71
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.