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Finding the Fourth Proportional to 840.54, 1,159.59 and 525.75

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Solution

The fourth proportional to 840.54, 1,159.59 and 525.75 is: 725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.54 : 1,159.59 = 525.75 : x
  2. Step 2: Convert to fraction form
    840.54/1,159.59 = 525.75/x
  3. Step 3: Cross multiply
    840.54x = 1,159.59 × 525.75
  4. Step 4: Simplify right side
    840.54x = 609,654.44
  5. Step 5: Solve for x
    x = 609,654.44/840.54
  6. Step 6: Final answer
    x = 725.31

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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.