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Finding the Fourth Proportional to 508.90, 702.32 and 384.35

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Solution

The fourth proportional to 508.90, 702.32 and 384.35 is: 530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.90 : 702.32 = 384.35 : x
  2. Step 2: Convert to fraction form
    508.90/702.32 = 384.35/x
  3. Step 3: Cross multiply
    508.90x = 702.32 × 384.35
  4. Step 4: Simplify right side
    508.90x = 269,934.43
  5. Step 5: Solve for x
    x = 269,934.43/508.90
  6. Step 6: Final answer
    x = 530.42

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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.