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Finding the Fourth Proportional to 630.77, 947.16 and 520.85

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Solution

The fourth proportional to 630.77, 947.16 and 520.85 is: 782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.77 : 947.16 = 520.85 : x
  2. Step 2: Convert to fraction form
    630.77/947.16 = 520.85/x
  3. Step 3: Cross multiply
    630.77x = 947.16 × 520.85
  4. Step 4: Simplify right side
    630.77x = 493,323.55
  5. Step 5: Solve for x
    x = 493,323.55/630.77
  6. Step 6: Final answer
    x = 782.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.