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Finding the Fourth Proportional to 835.30, 1,152.98 and 586.68

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Solution

The fourth proportional to 835.30, 1,152.98 and 586.68 is: 809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.30 : 1,152.98 = 586.68 : x
  2. Step 2: Convert to fraction form
    835.30/1,152.98 = 586.68/x
  3. Step 3: Cross multiply
    835.30x = 1,152.98 × 586.68
  4. Step 4: Simplify right side
    835.30x = 676,421.61
  5. Step 5: Solve for x
    x = 676,421.61/835.30
  6. Step 6: Final answer
    x = 809.80

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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.