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Finding the Fourth Proportional to 914.45, 1,261.90 and 560.96

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Solution

The fourth proportional to 914.45, 1,261.90 and 560.96 is: 774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.45 : 1,261.90 = 560.96 : x
  2. Step 2: Convert to fraction form
    914.45/1,261.90 = 560.96/x
  3. Step 3: Cross multiply
    914.45x = 1,261.90 × 560.96
  4. Step 4: Simplify right side
    914.45x = 707,875.42
  5. Step 5: Solve for x
    x = 707,875.42/914.45
  6. Step 6: Final answer
    x = 774.10

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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.