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Finding the Fourth Proportional to 457.63, 630.61 and 404.77

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Solution

The fourth proportional to 457.63, 630.61 and 404.77 is: 557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.63 : 630.61 = 404.77 : x
  2. Step 2: Convert to fraction form
    457.63/630.61 = 404.77/x
  3. Step 3: Cross multiply
    457.63x = 630.61 × 404.77
  4. Step 4: Simplify right side
    457.63x = 255,252.01
  5. Step 5: Solve for x
    x = 255,252.01/457.63
  6. Step 6: Final answer
    x = 557.77

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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.