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Finding the Fourth Proportional to 891.81, 1,230.90 and 560.01

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Solution

The fourth proportional to 891.81, 1,230.90 and 560.01 is: 772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.81 : 1,230.90 = 560.01 : x
  2. Step 2: Convert to fraction form
    891.81/1,230.90 = 560.01/x
  3. Step 3: Cross multiply
    891.81x = 1,230.90 × 560.01
  4. Step 4: Simplify right side
    891.81x = 689,316.31
  5. Step 5: Solve for x
    x = 689,316.31/891.81
  6. Step 6: Final answer
    x = 772.94

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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.