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Finding the Fourth Proportional to 658.42, 904.55 and 589.38

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Solution

The fourth proportional to 658.42, 904.55 and 589.38 is: 809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.42 : 904.55 = 589.38 : x
  2. Step 2: Convert to fraction form
    658.42/904.55 = 589.38/x
  3. Step 3: Cross multiply
    658.42x = 904.55 × 589.38
  4. Step 4: Simplify right side
    658.42x = 533,123.68
  5. Step 5: Solve for x
    x = 533,123.68/658.42
  6. Step 6: Final answer
    x = 809.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.