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Finding the Fourth Proportional to 841.24, 1,159.77 and 561.52

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Solution

The fourth proportional to 841.24, 1,159.77 and 561.52 is: 774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.24 : 1,159.77 = 561.52 : x
  2. Step 2: Convert to fraction form
    841.24/1,159.77 = 561.52/x
  3. Step 3: Cross multiply
    841.24x = 1,159.77 × 561.52
  4. Step 4: Simplify right side
    841.24x = 651,234.05
  5. Step 5: Solve for x
    x = 651,234.05/841.24
  6. Step 6: Final answer
    x = 774.14

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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.