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Finding the Fourth Proportional to 1,385.22, 2,077.42 and 460.53

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Solution

The fourth proportional to 1,385.22, 2,077.42 and 460.53 is: 690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.22 : 2,077.42 = 460.53 : x
  2. Step 2: Convert to fraction form
    1,385.22/2,077.42 = 460.53/x
  3. Step 3: Cross multiply
    1,385.22x = 2,077.42 × 460.53
  4. Step 4: Simplify right side
    1,385.22x = 956,709.40
  5. Step 5: Solve for x
    x = 956,709.40/1,385.22
  6. Step 6: Final answer
    x = 690.66

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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.