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Finding the Fourth Proportional to 830.67, 1,246.23 and 397.77

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Solution

The fourth proportional to 830.67, 1,246.23 and 397.77 is: 596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.67 : 1,246.23 = 397.77 : x
  2. Step 2: Convert to fraction form
    830.67/1,246.23 = 397.77/x
  3. Step 3: Cross multiply
    830.67x = 1,246.23 × 397.77
  4. Step 4: Simplify right side
    830.67x = 495,712.91
  5. Step 5: Solve for x
    x = 495,712.91/830.67
  6. Step 6: Final answer
    x = 596.76

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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.