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Finding the Fourth Proportional to 652.17, 972.81 and 589.89

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Solution

The fourth proportional to 652.17, 972.81 and 589.89 is: 879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.17 : 972.81 = 589.89 : x
  2. Step 2: Convert to fraction form
    652.17/972.81 = 589.89/x
  3. Step 3: Cross multiply
    652.17x = 972.81 × 589.89
  4. Step 4: Simplify right side
    652.17x = 573,850.89
  5. Step 5: Solve for x
    x = 573,850.89/652.17
  6. Step 6: Final answer
    x = 879.91

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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.