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Finding the Fourth Proportional to 474.13, 707.99 and 387.63

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Solution

The fourth proportional to 474.13, 707.99 and 387.63 is: 578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.13 : 707.99 = 387.63 : x
  2. Step 2: Convert to fraction form
    474.13/707.99 = 387.63/x
  3. Step 3: Cross multiply
    474.13x = 707.99 × 387.63
  4. Step 4: Simplify right side
    474.13x = 274,438.16
  5. Step 5: Solve for x
    x = 274,438.16/474.13
  6. Step 6: Final answer
    x = 578.82

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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.