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Finding the Fourth Proportional to 528.32, 728.90 and 307.35

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Solution

The fourth proportional to 528.32, 728.90 and 307.35 is: 424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.32 : 728.90 = 307.35 : x
  2. Step 2: Convert to fraction form
    528.32/728.90 = 307.35/x
  3. Step 3: Cross multiply
    528.32x = 728.90 × 307.35
  4. Step 4: Simplify right side
    528.32x = 224,027.42
  5. Step 5: Solve for x
    x = 224,027.42/528.32
  6. Step 6: Final answer
    x = 424.04

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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.