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Finding the Fourth Proportional to 508.78, 702.18 and 312.28

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Solution

The fourth proportional to 508.78, 702.18 and 312.28 is: 430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 702.18 = 312.28 : x
  2. Step 2: Convert to fraction form
    508.78/702.18 = 312.28/x
  3. Step 3: Cross multiply
    508.78x = 702.18 × 312.28
  4. Step 4: Simplify right side
    508.78x = 219,276.77
  5. Step 5: Solve for x
    x = 219,276.77/508.78
  6. Step 6: Final answer
    x = 430.99

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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.