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Finding the Fourth Proportional to 1,652.38, 2,477.52 and 830.20

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Solution

The fourth proportional to 1,652.38, 2,477.52 and 830.20 is: 1,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.38 : 2,477.52 = 830.20 : x
  2. Step 2: Convert to fraction form
    1,652.38/2,477.52 = 830.20/x
  3. Step 3: Cross multiply
    1,652.38x = 2,477.52 × 830.20
  4. Step 4: Simplify right side
    1,652.38x = 2,056,837.10
  5. Step 5: Solve for x
    x = 2,056,837.10/1,652.38
  6. Step 6: Final answer
    x = 1,244.77

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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.