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Finding the Fourth Proportional to 841.77, 1,261.94 and 402.78

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Solution

The fourth proportional to 841.77, 1,261.94 and 402.78 is: 603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.77 : 1,261.94 = 402.78 : x
  2. Step 2: Convert to fraction form
    841.77/1,261.94 = 402.78/x
  3. Step 3: Cross multiply
    841.77x = 1,261.94 × 402.78
  4. Step 4: Simplify right side
    841.77x = 508,275.87
  5. Step 5: Solve for x
    x = 508,275.87/841.77
  6. Step 6: Final answer
    x = 603.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.