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Finding the Fourth Proportional to 424.94, 633.76 and 417.65

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Solution

The fourth proportional to 424.94, 633.76 and 417.65 is: 622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.94 : 633.76 = 417.65 : x
  2. Step 2: Convert to fraction form
    424.94/633.76 = 417.65/x
  3. Step 3: Cross multiply
    424.94x = 633.76 × 417.65
  4. Step 4: Simplify right side
    424.94x = 264,689.86
  5. Step 5: Solve for x
    x = 264,689.86/424.94
  6. Step 6: Final answer
    x = 622.89

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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.