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Finding the Fourth Proportional to 501.32, 748.18 and 488.36

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Solution

The fourth proportional to 501.32, 748.18 and 488.36 is: 728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.32 : 748.18 = 488.36 : x
  2. Step 2: Convert to fraction form
    501.32/748.18 = 488.36/x
  3. Step 3: Cross multiply
    501.32x = 748.18 × 488.36
  4. Step 4: Simplify right side
    501.32x = 365,381.18
  5. Step 5: Solve for x
    x = 365,381.18/501.32
  6. Step 6: Final answer
    x = 728.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.