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Finding the Fourth Proportional to 652.45, 974.42 and 522.65

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Solution

The fourth proportional to 652.45, 974.42 and 522.65 is: 780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.45 : 974.42 = 522.65 : x
  2. Step 2: Convert to fraction form
    652.45/974.42 = 522.65/x
  3. Step 3: Cross multiply
    652.45x = 974.42 × 522.65
  4. Step 4: Simplify right side
    652.45x = 509,280.61
  5. Step 5: Solve for x
    x = 509,280.61/652.45
  6. Step 6: Final answer
    x = 780.57

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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.