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Finding the Fourth Proportional to 821.16, 1,132.80 and 558.72

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Solution

The fourth proportional to 821.16, 1,132.80 and 558.72 is: 770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.16 : 1,132.80 = 558.72 : x
  2. Step 2: Convert to fraction form
    821.16/1,132.80 = 558.72/x
  3. Step 3: Cross multiply
    821.16x = 1,132.80 × 558.72
  4. Step 4: Simplify right side
    821.16x = 632,918.02
  5. Step 5: Solve for x
    x = 632,918.02/821.16
  6. Step 6: Final answer
    x = 770.76

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Double scale
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1.5x scale

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.