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Finding the Fourth Proportional to 840.29, 1,159.54 and 467.25

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Solution

The fourth proportional to 840.29, 1,159.54 and 467.25 is: 644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.29 : 1,159.54 = 467.25 : x
  2. Step 2: Convert to fraction form
    840.29/1,159.54 = 467.25/x
  3. Step 3: Cross multiply
    840.29x = 1,159.54 × 467.25
  4. Step 4: Simplify right side
    840.29x = 541,793.90
  5. Step 5: Solve for x
    x = 541,793.90/840.29
  6. Step 6: Final answer
    x = 644.77

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1.5x scale

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.