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Finding the Fourth Proportional to 813.12, 1,120.55 and 591.72

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Solution

The fourth proportional to 813.12, 1,120.55 and 591.72 is: 815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.12 : 1,120.55 = 591.72 : x
  2. Step 2: Convert to fraction form
    813.12/1,120.55 = 591.72/x
  3. Step 3: Cross multiply
    813.12x = 1,120.55 × 591.72
  4. Step 4: Simplify right side
    813.12x = 663,048.89
  5. Step 5: Solve for x
    x = 663,048.89/813.12
  6. Step 6: Final answer
    x = 815.44

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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.