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Finding the Fourth Proportional to 921.67, 1,271.55 and 567.70

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Solution

The fourth proportional to 921.67, 1,271.55 and 567.70 is: 783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.67 : 1,271.55 = 567.70 : x
  2. Step 2: Convert to fraction form
    921.67/1,271.55 = 567.70/x
  3. Step 3: Cross multiply
    921.67x = 1,271.55 × 567.70
  4. Step 4: Simplify right side
    921.67x = 721,858.94
  5. Step 5: Solve for x
    x = 721,858.94/921.67
  6. Step 6: Final answer
    x = 783.21

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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.