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Finding the Fourth Proportional to 875.45, 1,207.82 and 560.77

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Solution

The fourth proportional to 875.45, 1,207.82 and 560.77 is: 773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.45 : 1,207.82 = 560.77 : x
  2. Step 2: Convert to fraction form
    875.45/1,207.82 = 560.77/x
  3. Step 3: Cross multiply
    875.45x = 1,207.82 × 560.77
  4. Step 4: Simplify right side
    875.45x = 677,300.38
  5. Step 5: Solve for x
    x = 677,300.38/875.45
  6. Step 6: Final answer
    x = 773.66

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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.