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Finding the Fourth Proportional to 652.98, 973.41 and 642.99

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Solution

The fourth proportional to 652.98, 973.41 and 642.99 is: 958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.98 : 973.41 = 642.99 : x
  2. Step 2: Convert to fraction form
    652.98/973.41 = 642.99/x
  3. Step 3: Cross multiply
    652.98x = 973.41 × 642.99
  4. Step 4: Simplify right side
    652.98x = 625,892.90
  5. Step 5: Solve for x
    x = 625,892.90/652.98
  6. Step 6: Final answer
    x = 958.52

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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.