Home / 1,685.38-2,325.76-977.20

Finding the Fourth Proportional to 1,685.38, 2,325.76 and 977.20

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Solution

The fourth proportional to 1,685.38, 2,325.76 and 977.20 is: 1,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.38 : 2,325.76 = 977.20 : x
  2. Step 2: Convert to fraction form
    1,685.38/2,325.76 = 977.20/x
  3. Step 3: Cross multiply
    1,685.38x = 2,325.76 × 977.20
  4. Step 4: Simplify right side
    1,685.38x = 2,272,727.79
  5. Step 5: Solve for x
    x = 2,272,727.79/1,685.38
  6. Step 6: Final answer
    x = 1,348.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.