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Finding the Fourth Proportional to 959.32, 1,437.90 and 471.34

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Solution

The fourth proportional to 959.32, 1,437.90 and 471.34 is: 706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.32 : 1,437.90 = 471.34 : x
  2. Step 2: Convert to fraction form
    959.32/1,437.90 = 471.34/x
  3. Step 3: Cross multiply
    959.32x = 1,437.90 × 471.34
  4. Step 4: Simplify right side
    959.32x = 677,739.79
  5. Step 5: Solve for x
    x = 677,739.79/959.32
  6. Step 6: Final answer
    x = 706.48

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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.