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Finding the Fourth Proportional to 841.04, 1,256.18 and 761.77

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Solution

The fourth proportional to 841.04, 1,256.18 and 761.77 is: 1,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.04 : 1,256.18 = 761.77 : x
  2. Step 2: Convert to fraction form
    841.04/1,256.18 = 761.77/x
  3. Step 3: Cross multiply
    841.04x = 1,256.18 × 761.77
  4. Step 4: Simplify right side
    841.04x = 956,915.62
  5. Step 5: Solve for x
    x = 956,915.62/841.04
  6. Step 6: Final answer
    x = 1,137.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.