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Finding the Fourth Proportional to 700.52, 966.65 and 385.76

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Solution

The fourth proportional to 700.52, 966.65 and 385.76 is: 532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.52 : 966.65 = 385.76 : x
  2. Step 2: Convert to fraction form
    700.52/966.65 = 385.76/x
  3. Step 3: Cross multiply
    700.52x = 966.65 × 385.76
  4. Step 4: Simplify right side
    700.52x = 372,895.39
  5. Step 5: Solve for x
    x = 372,895.39/700.52
  6. Step 6: Final answer
    x = 532.32

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1.5x scale

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.