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Finding the Fourth Proportional to 835.16, 1,253.16 and 527.12

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Solution

The fourth proportional to 835.16, 1,253.16 and 527.12 is: 790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.16 : 1,253.16 = 527.12 : x
  2. Step 2: Convert to fraction form
    835.16/1,253.16 = 527.12/x
  3. Step 3: Cross multiply
    835.16x = 1,253.16 × 527.12
  4. Step 4: Simplify right side
    835.16x = 660,565.70
  5. Step 5: Solve for x
    x = 660,565.70/835.16
  6. Step 6: Final answer
    x = 790.95

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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.