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Finding the Fourth Proportional to 669.30, 1,000.04 and 589.10

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Solution

The fourth proportional to 669.30, 1,000.04 and 589.10 is: 880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.30 : 1,000.04 = 589.10 : x
  2. Step 2: Convert to fraction form
    669.30/1,000.04 = 589.10/x
  3. Step 3: Cross multiply
    669.30x = 1,000.04 × 589.10
  4. Step 4: Simplify right side
    669.30x = 589,123.56
  5. Step 5: Solve for x
    x = 589,123.56/669.30
  6. Step 6: Final answer
    x = 880.21

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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.