Home / 1,385.32-2,077.76-461.52

Finding the Fourth Proportional to 1,385.32, 2,077.76 and 461.52

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Solution

The fourth proportional to 1,385.32, 2,077.76 and 461.52 is: 692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.32 : 2,077.76 = 461.52 : x
  2. Step 2: Convert to fraction form
    1,385.32/2,077.76 = 461.52/x
  3. Step 3: Cross multiply
    1,385.32x = 2,077.76 × 461.52
  4. Step 4: Simplify right side
    1,385.32x = 958,927.80
  5. Step 5: Solve for x
    x = 958,927.80/1,385.32
  6. Step 6: Final answer
    x = 692.21

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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.