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Finding the Fourth Proportional to 820.58, 1,132.38 and 471.24

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Solution

The fourth proportional to 820.58, 1,132.38 and 471.24 is: 650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.58 : 1,132.38 = 471.24 : x
  2. Step 2: Convert to fraction form
    820.58/1,132.38 = 471.24/x
  3. Step 3: Cross multiply
    820.58x = 1,132.38 × 471.24
  4. Step 4: Simplify right side
    820.58x = 533,622.75
  5. Step 5: Solve for x
    x = 533,622.75/820.58
  6. Step 6: Final answer
    x = 650.30

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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.