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Finding the Fourth Proportional to 1,306.38, 1,958.47 and 612.68

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Solution

The fourth proportional to 1,306.38, 1,958.47 and 612.68 is: 918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.38 : 1,958.47 = 612.68 : x
  2. Step 2: Convert to fraction form
    1,306.38/1,958.47 = 612.68/x
  3. Step 3: Cross multiply
    1,306.38x = 1,958.47 × 612.68
  4. Step 4: Simplify right side
    1,306.38x = 1,199,915.40
  5. Step 5: Solve for x
    x = 1,199,915.40/1,306.38
  6. Step 6: Final answer
    x = 918.50

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1.5x scale

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.