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Finding the Fourth Proportional to 652.58, 974.60 and 522.78

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Solution

The fourth proportional to 652.58, 974.60 and 522.78 is: 780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.58 : 974.60 = 522.78 : x
  2. Step 2: Convert to fraction form
    652.58/974.60 = 522.78/x
  3. Step 3: Cross multiply
    652.58x = 974.60 × 522.78
  4. Step 4: Simplify right side
    652.58x = 509,497.08
  5. Step 5: Solve for x
    x = 509,497.08/652.58
  6. Step 6: Final answer
    x = 780.74

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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.