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Finding the Fourth Proportional to 574.59, 858.52 and 417.66

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Solution

The fourth proportional to 574.59, 858.52 and 417.66 is: 624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.59 : 858.52 = 417.66 : x
  2. Step 2: Convert to fraction form
    574.59/858.52 = 417.66/x
  3. Step 3: Cross multiply
    574.59x = 858.52 × 417.66
  4. Step 4: Simplify right side
    574.59x = 358,564.42
  5. Step 5: Solve for x
    x = 358,564.42/574.59
  6. Step 6: Final answer
    x = 624.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.