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Finding the Fourth Proportional to 840.38, 1,159.75 and 467.38

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Solution

The fourth proportional to 840.38, 1,159.75 and 467.38 is: 644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.38 : 1,159.75 = 467.38 : x
  2. Step 2: Convert to fraction form
    840.38/1,159.75 = 467.38/x
  3. Step 3: Cross multiply
    840.38x = 1,159.75 × 467.38
  4. Step 4: Simplify right side
    840.38x = 542,039.89
  5. Step 5: Solve for x
    x = 542,039.89/840.38
  6. Step 6: Final answer
    x = 644.99

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Double scale
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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.