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Finding the Fourth Proportional to 474.24, 711.32 and 289.10

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Solution

The fourth proportional to 474.24, 711.32 and 289.10 is: 433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.24 : 711.32 = 289.10 : x
  2. Step 2: Convert to fraction form
    474.24/711.32 = 289.10/x
  3. Step 3: Cross multiply
    474.24x = 711.32 × 289.10
  4. Step 4: Simplify right side
    474.24x = 205,637.61
  5. Step 5: Solve for x
    x = 205,637.61/474.24
  6. Step 6: Final answer
    x = 433.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.