Home / 1,032.10-1,548.15-918.70

Finding the Fourth Proportional to 1,032.10, 1,548.15 and 918.70

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Solution

The fourth proportional to 1,032.10, 1,548.15 and 918.70 is: 1,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.10 : 1,548.15 = 918.70 : x
  2. Step 2: Convert to fraction form
    1,032.10/1,548.15 = 918.70/x
  3. Step 3: Cross multiply
    1,032.10x = 1,548.15 × 918.70
  4. Step 4: Simplify right side
    1,032.10x = 1,422,285.41
  5. Step 5: Solve for x
    x = 1,422,285.41/1,032.10
  6. Step 6: Final answer
    x = 1,378.05

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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.