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Finding the Fourth Proportional to 956.53, 1,319.86 and 558.21

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Solution

The fourth proportional to 956.53, 1,319.86 and 558.21 is: 770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.53 : 1,319.86 = 558.21 : x
  2. Step 2: Convert to fraction form
    956.53/1,319.86 = 558.21/x
  3. Step 3: Cross multiply
    956.53x = 1,319.86 × 558.21
  4. Step 4: Simplify right side
    956.53x = 736,759.05
  5. Step 5: Solve for x
    x = 736,759.05/956.53
  6. Step 6: Final answer
    x = 770.24

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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.