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Finding the Fourth Proportional to 671.40, 1,001.79 and 563.40

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Solution

The fourth proportional to 671.40, 1,001.79 and 563.40 is: 840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.40 : 1,001.79 = 563.40 : x
  2. Step 2: Convert to fraction form
    671.40/1,001.79 = 563.40/x
  3. Step 3: Cross multiply
    671.40x = 1,001.79 × 563.40
  4. Step 4: Simplify right side
    671.40x = 564,408.49
  5. Step 5: Solve for x
    x = 564,408.49/671.40
  6. Step 6: Final answer
    x = 840.64

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.