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Finding the Fourth Proportional to 955.98, 1,319.31 and 557.70

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Solution

The fourth proportional to 955.98, 1,319.31 and 557.70 is: 769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.98 : 1,319.31 = 557.70 : x
  2. Step 2: Convert to fraction form
    955.98/1,319.31 = 557.70/x
  3. Step 3: Cross multiply
    955.98x = 1,319.31 × 557.70
  4. Step 4: Simplify right side
    955.98x = 735,779.19
  5. Step 5: Solve for x
    x = 735,779.19/955.98
  6. Step 6: Final answer
    x = 769.66

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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.