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Finding the Fourth Proportional to 712.31, 983.12 and 417.58

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Solution

The fourth proportional to 712.31, 983.12 and 417.58 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.31 : 983.12 = 417.58 : x
  2. Step 2: Convert to fraction form
    712.31/983.12 = 417.58/x
  3. Step 3: Cross multiply
    712.31x = 983.12 × 417.58
  4. Step 4: Simplify right side
    712.31x = 410,533.58
  5. Step 5: Solve for x
    x = 410,533.58/712.31
  6. Step 6: Final answer
    x = 576.34

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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.