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Finding the Fourth Proportional to 508.50, 702.10 and 410.70

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Solution

The fourth proportional to 508.50, 702.10 and 410.70 is: 567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.50 : 702.10 = 410.70 : x
  2. Step 2: Convert to fraction form
    508.50/702.10 = 410.70/x
  3. Step 3: Cross multiply
    508.50x = 702.10 × 410.70
  4. Step 4: Simplify right side
    508.50x = 288,352.47
  5. Step 5: Solve for x
    x = 288,352.47/508.50
  6. Step 6: Final answer
    x = 567.06

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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.