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Finding the Fourth Proportional to 840.84, 1,261.40 and 293.10

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Solution

The fourth proportional to 840.84, 1,261.40 and 293.10 is: 439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.84 : 1,261.40 = 293.10 : x
  2. Step 2: Convert to fraction form
    840.84/1,261.40 = 293.10/x
  3. Step 3: Cross multiply
    840.84x = 1,261.40 × 293.10
  4. Step 4: Simplify right side
    840.84x = 369,714.87
  5. Step 5: Solve for x
    x = 369,714.87/840.84
  6. Step 6: Final answer
    x = 439.70

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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.