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Finding the Fourth Proportional to 508.91, 702.61 and 390.66

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Solution

The fourth proportional to 508.91, 702.61 and 390.66 is: 539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.91 : 702.61 = 390.66 : x
  2. Step 2: Convert to fraction form
    508.91/702.61 = 390.66/x
  3. Step 3: Cross multiply
    508.91x = 702.61 × 390.66
  4. Step 4: Simplify right side
    508.91x = 274,480.35
  5. Step 5: Solve for x
    x = 274,480.35/508.91
  6. Step 6: Final answer
    x = 539.35

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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.