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Finding the Fourth Proportional to 580.24, 869.76 and 435.52

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Solution

The fourth proportional to 580.24, 869.76 and 435.52 is: 652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.24 : 869.76 = 435.52 : x
  2. Step 2: Convert to fraction form
    580.24/869.76 = 435.52/x
  3. Step 3: Cross multiply
    580.24x = 869.76 × 435.52
  4. Step 4: Simplify right side
    580.24x = 378,797.88
  5. Step 5: Solve for x
    x = 378,797.88/580.24
  6. Step 6: Final answer
    x = 652.83

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1.5x scale

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.