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Finding the Fourth Proportional to 835.17, 1,152.77 and 586.55

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Solution

The fourth proportional to 835.17, 1,152.77 and 586.55 is: 809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.17 : 1,152.77 = 586.55 : x
  2. Step 2: Convert to fraction form
    835.17/1,152.77 = 586.55/x
  3. Step 3: Cross multiply
    835.17x = 1,152.77 × 586.55
  4. Step 4: Simplify right side
    835.17x = 676,157.24
  5. Step 5: Solve for x
    x = 676,157.24/835.17
  6. Step 6: Final answer
    x = 809.60

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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.