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Finding the Fourth Proportional to 921.56, 1,271.85 and 567.58

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Solution

The fourth proportional to 921.56, 1,271.85 and 567.58 is: 783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.56 : 1,271.85 = 567.58 : x
  2. Step 2: Convert to fraction form
    921.56/1,271.85 = 567.58/x
  3. Step 3: Cross multiply
    921.56x = 1,271.85 × 567.58
  4. Step 4: Simplify right side
    921.56x = 721,867.43
  5. Step 5: Solve for x
    x = 721,867.43/921.56
  6. Step 6: Final answer
    x = 783.31

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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.