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Finding the Fourth Proportional to 693.59, 1,034.29 and 589.10

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Solution

The fourth proportional to 693.59, 1,034.29 and 589.10 is: 878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.59 : 1,034.29 = 589.10 : x
  2. Step 2: Convert to fraction form
    693.59/1,034.29 = 589.10/x
  3. Step 3: Cross multiply
    693.59x = 1,034.29 × 589.10
  4. Step 4: Simplify right side
    693.59x = 609,293.59
  5. Step 5: Solve for x
    x = 609,293.59/693.59
  6. Step 6: Final answer
    x = 878.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.