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Finding the Fourth Proportional to 671.64, 1,001.55 and 564.12

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Solution

The fourth proportional to 671.64, 1,001.55 and 564.12 is: 841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.64 : 1,001.55 = 564.12 : x
  2. Step 2: Convert to fraction form
    671.64/1,001.55 = 564.12/x
  3. Step 3: Cross multiply
    671.64x = 1,001.55 × 564.12
  4. Step 4: Simplify right side
    671.64x = 564,994.39
  5. Step 5: Solve for x
    x = 564,994.39/671.64
  6. Step 6: Final answer
    x = 841.22

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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.