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Finding the Fourth Proportional to 1,652.08, 2,280.20 and 953.52

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Solution

The fourth proportional to 1,652.08, 2,280.20 and 953.52 is: 1,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.08 : 2,280.20 = 953.52 : x
  2. Step 2: Convert to fraction form
    1,652.08/2,280.20 = 953.52/x
  3. Step 3: Cross multiply
    1,652.08x = 2,280.20 × 953.52
  4. Step 4: Simplify right side
    1,652.08x = 2,174,216.30
  5. Step 5: Solve for x
    x = 2,174,216.30/1,652.08
  6. Step 6: Final answer
    x = 1,316.05

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