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Finding the Fourth Proportional to 1,652.41, 2,280.35 and 906.38

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Solution

The fourth proportional to 1,652.41, 2,280.35 and 906.38 is: 1,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.41 : 2,280.35 = 906.38 : x
  2. Step 2: Convert to fraction form
    1,652.41/2,280.35 = 906.38/x
  3. Step 3: Cross multiply
    1,652.41x = 2,280.35 × 906.38
  4. Step 4: Simplify right side
    1,652.41x = 2,066,864.80
  5. Step 5: Solve for x
    x = 2,066,864.80/1,652.41
  6. Step 6: Final answer
    x = 1,250.82

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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.