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Finding the Fourth Proportional to 558.95, 771.25 and 322.91

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Solution

The fourth proportional to 558.95, 771.25 and 322.91 is: 445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.95 : 771.25 = 322.91 : x
  2. Step 2: Convert to fraction form
    558.95/771.25 = 322.91/x
  3. Step 3: Cross multiply
    558.95x = 771.25 × 322.91
  4. Step 4: Simplify right side
    558.95x = 249,044.34
  5. Step 5: Solve for x
    x = 249,044.34/558.95
  6. Step 6: Final answer
    x = 445.56

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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.