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Finding the Fourth Proportional to 529.05, 729.85 and 307.94

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Solution

The fourth proportional to 529.05, 729.85 and 307.94 is: 424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.05 : 729.85 = 307.94 : x
  2. Step 2: Convert to fraction form
    529.05/729.85 = 307.94/x
  3. Step 3: Cross multiply
    529.05x = 729.85 × 307.94
  4. Step 4: Simplify right side
    529.05x = 224,748.47
  5. Step 5: Solve for x
    x = 224,748.47/529.05
  6. Step 6: Final answer
    x = 424.82

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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.