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Finding the Fourth Proportional to 528.78, 729.64 and 307.68

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Solution

The fourth proportional to 528.78, 729.64 and 307.68 is: 424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.78 : 729.64 = 307.68 : x
  2. Step 2: Convert to fraction form
    528.78/729.64 = 307.68/x
  3. Step 3: Cross multiply
    528.78x = 729.64 × 307.68
  4. Step 4: Simplify right side
    528.78x = 224,495.64
  5. Step 5: Solve for x
    x = 224,495.64/528.78
  6. Step 6: Final answer
    x = 424.55

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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.