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Finding the Fourth Proportional to 837.88, 1,156.53 and 617.47

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Solution

The fourth proportional to 837.88, 1,156.53 and 617.47 is: 852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.88 : 1,156.53 = 617.47 : x
  2. Step 2: Convert to fraction form
    837.88/1,156.53 = 617.47/x
  3. Step 3: Cross multiply
    837.88x = 1,156.53 × 617.47
  4. Step 4: Simplify right side
    837.88x = 714,113.71
  5. Step 5: Solve for x
    x = 714,113.71/837.88
  6. Step 6: Final answer
    x = 852.29

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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.