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Finding the Fourth Proportional to 425.10, 586.16 and 417.35

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Solution

The fourth proportional to 425.10, 586.16 and 417.35 is: 575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.10 : 586.16 = 417.35 : x
  2. Step 2: Convert to fraction form
    425.10/586.16 = 417.35/x
  3. Step 3: Cross multiply
    425.10x = 586.16 × 417.35
  4. Step 4: Simplify right side
    425.10x = 244,635.99
  5. Step 5: Solve for x
    x = 244,635.99/425.10
  6. Step 6: Final answer
    x = 575.48

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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.