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Finding the Fourth Proportional to 417.27, 574.12 and 407.02

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Solution

The fourth proportional to 417.27, 574.12 and 407.02 is: 560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.27 : 574.12 = 407.02 : x
  2. Step 2: Convert to fraction form
    417.27/574.12 = 407.02/x
  3. Step 3: Cross multiply
    417.27x = 574.12 × 407.02
  4. Step 4: Simplify right side
    417.27x = 233,676.18
  5. Step 5: Solve for x
    x = 233,676.18/417.27
  6. Step 6: Final answer
    x = 560.01

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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.