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Finding the Fourth Proportional to 811.64, 1,120.58 and 562.87

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Solution

The fourth proportional to 811.64, 1,120.58 and 562.87 is: 777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.64 : 1,120.58 = 562.87 : x
  2. Step 2: Convert to fraction form
    811.64/1,120.58 = 562.87/x
  3. Step 3: Cross multiply
    811.64x = 1,120.58 × 562.87
  4. Step 4: Simplify right side
    811.64x = 630,740.86
  5. Step 5: Solve for x
    x = 630,740.86/811.64
  6. Step 6: Final answer
    x = 777.12

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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.