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Finding the Fourth Proportional to 1,315.38, 1,972.10 and 621.68

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Solution

The fourth proportional to 1,315.38, 1,972.10 and 621.68 is: 932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.38 : 1,972.10 = 621.68 : x
  2. Step 2: Convert to fraction form
    1,315.38/1,972.10 = 621.68/x
  3. Step 3: Cross multiply
    1,315.38x = 1,972.10 × 621.68
  4. Step 4: Simplify right side
    1,315.38x = 1,226,015.13
  5. Step 5: Solve for x
    x = 1,226,015.13/1,315.38
  6. Step 6: Final answer
    x = 932.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.