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Finding the Fourth Proportional to 417.61, 624.11 and 384.77

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Solution

The fourth proportional to 417.61, 624.11 and 384.77 is: 575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.61 : 624.11 = 384.77 : x
  2. Step 2: Convert to fraction form
    417.61/624.11 = 384.77/x
  3. Step 3: Cross multiply
    417.61x = 624.11 × 384.77
  4. Step 4: Simplify right side
    417.61x = 240,135.68
  5. Step 5: Solve for x
    x = 240,135.68/417.61
  6. Step 6: Final answer
    x = 575.03

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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.