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Finding the Fourth Proportional to 510.08, 702.47 and 477.14

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Solution

The fourth proportional to 510.08, 702.47 and 477.14 is: 657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.08 : 702.47 = 477.14 : x
  2. Step 2: Convert to fraction form
    510.08/702.47 = 477.14/x
  3. Step 3: Cross multiply
    510.08x = 702.47 × 477.14
  4. Step 4: Simplify right side
    510.08x = 335,174.22
  5. Step 5: Solve for x
    x = 335,174.22/510.08
  6. Step 6: Final answer
    x = 657.11

Related Problems

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Half scale
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Double scale
Find fourth proportional to 511.08, 703.85 and 478.14
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.