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Finding the Fourth Proportional to 688.13, 950.04 and 478.23

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Solution

The fourth proportional to 688.13, 950.04 and 478.23 is: 660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.13 : 950.04 = 478.23 : x
  2. Step 2: Convert to fraction form
    688.13/950.04 = 478.23/x
  3. Step 3: Cross multiply
    688.13x = 950.04 × 478.23
  4. Step 4: Simplify right side
    688.13x = 454,337.63
  5. Step 5: Solve for x
    x = 454,337.63/688.13
  6. Step 6: Final answer
    x = 660.25

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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.