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Finding the Fourth Proportional to 956.40, 1,433.20 and 468.88

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Solution

The fourth proportional to 956.40, 1,433.20 and 468.88 is: 702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.40 : 1,433.20 = 468.88 : x
  2. Step 2: Convert to fraction form
    956.40/1,433.20 = 468.88/x
  3. Step 3: Cross multiply
    956.40x = 1,433.20 × 468.88
  4. Step 4: Simplify right side
    956.40x = 671,998.82
  5. Step 5: Solve for x
    x = 671,998.82/956.40
  6. Step 6: Final answer
    x = 702.63

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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.