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Finding the Fourth Proportional to 930.76, 1,284 and 557.56

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Solution

The fourth proportional to 930.76, 1,284 and 557.56 is: 769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.76 : 1,284 = 557.56 : x
  2. Step 2: Convert to fraction form
    930.76/1,284 = 557.56/x
  3. Step 3: Cross multiply
    930.76x = 1,284 × 557.56
  4. Step 4: Simplify right side
    930.76x = 715,900.62
  5. Step 5: Solve for x
    x = 715,900.62/930.76
  6. Step 6: Final answer
    x = 769.16

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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.