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Finding the Fourth Proportional to 947.14, 1,306.76 and 554.16

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Solution

The fourth proportional to 947.14, 1,306.76 and 554.16 is: 764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.14 : 1,306.76 = 554.16 : x
  2. Step 2: Convert to fraction form
    947.14/1,306.76 = 554.16/x
  3. Step 3: Cross multiply
    947.14x = 1,306.76 × 554.16
  4. Step 4: Simplify right side
    947.14x = 724,154.12
  5. Step 5: Solve for x
    x = 724,154.12/947.14
  6. Step 6: Final answer
    x = 764.57

Related Problems

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Half scale
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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.