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Finding the Fourth Proportional to 1,113.38, 1,670.08 and 343.88

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Solution

The fourth proportional to 1,113.38, 1,670.08 and 343.88 is: 515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.38 : 1,670.08 = 343.88 : x
  2. Step 2: Convert to fraction form
    1,113.38/1,670.08 = 343.88/x
  3. Step 3: Cross multiply
    1,113.38x = 1,670.08 × 343.88
  4. Step 4: Simplify right side
    1,113.38x = 574,307.11
  5. Step 5: Solve for x
    x = 574,307.11/1,113.38
  6. Step 6: Final answer
    x = 515.82

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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.