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Finding the Fourth Proportional to 712.76, 983.46 and 417.96

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Solution

The fourth proportional to 712.76, 983.46 and 417.96 is: 576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.76 : 983.46 = 417.96 : x
  2. Step 2: Convert to fraction form
    712.76/983.46 = 417.96/x
  3. Step 3: Cross multiply
    712.76x = 983.46 × 417.96
  4. Step 4: Simplify right side
    712.76x = 411,046.94
  5. Step 5: Solve for x
    x = 411,046.94/712.76
  6. Step 6: Final answer
    x = 576.70

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Find fourth proportional to 356.38, 491.73 and 208.98
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.