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Finding the Fourth Proportional to 508.40, 701.88 and 403.88

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Solution

The fourth proportional to 508.40, 701.88 and 403.88 is: 557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.40 : 701.88 = 403.88 : x
  2. Step 2: Convert to fraction form
    508.40/701.88 = 403.88/x
  3. Step 3: Cross multiply
    508.40x = 701.88 × 403.88
  4. Step 4: Simplify right side
    508.40x = 283,475.29
  5. Step 5: Solve for x
    x = 283,475.29/508.40
  6. Step 6: Final answer
    x = 557.58

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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.