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Finding the Fourth Proportional to 947.34, 1,306.76 and 615.98

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Solution

The fourth proportional to 947.34, 1,306.76 and 615.98 is: 849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.34 : 1,306.76 = 615.98 : x
  2. Step 2: Convert to fraction form
    947.34/1,306.76 = 615.98/x
  3. Step 3: Cross multiply
    947.34x = 1,306.76 × 615.98
  4. Step 4: Simplify right side
    947.34x = 804,938.21
  5. Step 5: Solve for x
    x = 804,938.21/947.34
  6. Step 6: Final answer
    x = 849.68

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Double scale
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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.