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Finding the Fourth Proportional to 835.64, 1,151.16 and 586.46

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Solution

The fourth proportional to 835.64, 1,151.16 and 586.46 is: 807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.64 : 1,151.16 = 586.46 : x
  2. Step 2: Convert to fraction form
    835.64/1,151.16 = 586.46/x
  3. Step 3: Cross multiply
    835.64x = 1,151.16 × 586.46
  4. Step 4: Simplify right side
    835.64x = 675,109.29
  5. Step 5: Solve for x
    x = 675,109.29/835.64
  6. Step 6: Final answer
    x = 807.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.