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Finding the Fourth Proportional to 712.60, 983.24 and 417.66

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Solution

The fourth proportional to 712.60, 983.24 and 417.66 is: 576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.60 : 983.24 = 417.66 : x
  2. Step 2: Convert to fraction form
    712.60/983.24 = 417.66/x
  3. Step 3: Cross multiply
    712.60x = 983.24 × 417.66
  4. Step 4: Simplify right side
    712.60x = 410,655.81
  5. Step 5: Solve for x
    x = 410,655.81/712.60
  6. Step 6: Final answer
    x = 576.28

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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.