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Finding the Fourth Proportional to 1,061.85, 1,465.44 and 589.89

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Solution

The fourth proportional to 1,061.85, 1,465.44 and 589.89 is: 814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.85 : 1,465.44 = 589.89 : x
  2. Step 2: Convert to fraction form
    1,061.85/1,465.44 = 589.89/x
  3. Step 3: Cross multiply
    1,061.85x = 1,465.44 × 589.89
  4. Step 4: Simplify right side
    1,061.85x = 864,448.40
  5. Step 5: Solve for x
    x = 864,448.40/1,061.85
  6. Step 6: Final answer
    x = 814.10

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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.