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Finding the Fourth Proportional to 1,432.66, 1,977.06 and 811.66

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Solution

The fourth proportional to 1,432.66, 1,977.06 and 811.66 is: 1,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.66 : 1,977.06 = 811.66 : x
  2. Step 2: Convert to fraction form
    1,432.66/1,977.06 = 811.66/x
  3. Step 3: Cross multiply
    1,432.66x = 1,977.06 × 811.66
  4. Step 4: Simplify right side
    1,432.66x = 1,604,700.52
  5. Step 5: Solve for x
    x = 1,604,700.52/1,432.66
  6. Step 6: Final answer
    x = 1,120.08

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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.