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Finding the Fourth Proportional to 474.78, 708.72 and 463.98

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Solution

The fourth proportional to 474.78, 708.72 and 463.98 is: 692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.78 : 708.72 = 463.98 : x
  2. Step 2: Convert to fraction form
    474.78/708.72 = 463.98/x
  3. Step 3: Cross multiply
    474.78x = 708.72 × 463.98
  4. Step 4: Simplify right side
    474.78x = 328,831.91
  5. Step 5: Solve for x
    x = 328,831.91/474.78
  6. Step 6: Final answer
    x = 692.60

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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.