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Finding the Fourth Proportional to 1,465.90, 2,197.88 and 685.49

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Solution

The fourth proportional to 1,465.90, 2,197.88 and 685.49 is: 1,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.90 : 2,197.88 = 685.49 : x
  2. Step 2: Convert to fraction form
    1,465.90/2,197.88 = 685.49/x
  3. Step 3: Cross multiply
    1,465.90x = 2,197.88 × 685.49
  4. Step 4: Simplify right side
    1,465.90x = 1,506,610.34
  5. Step 5: Solve for x
    x = 1,506,610.34/1,465.90
  6. Step 6: Final answer
    x = 1,027.77

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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.