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Finding the Fourth Proportional to 1,061.68, 1,465.14 and 589.56

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Solution

The fourth proportional to 1,061.68, 1,465.14 and 589.56 is: 813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.68 : 1,465.14 = 589.56 : x
  2. Step 2: Convert to fraction form
    1,061.68/1,465.14 = 589.56/x
  3. Step 3: Cross multiply
    1,061.68x = 1,465.14 × 589.56
  4. Step 4: Simplify right side
    1,061.68x = 863,793.08
  5. Step 5: Solve for x
    x = 863,793.08/1,061.68
  6. Step 6: Final answer
    x = 813.61

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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.