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Finding the Fourth Proportional to 805.21, 1,111.43 and 524.95

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Solution

The fourth proportional to 805.21, 1,111.43 and 524.95 is: 724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.21 : 1,111.43 = 524.95 : x
  2. Step 2: Convert to fraction form
    805.21/1,111.43 = 524.95/x
  3. Step 3: Cross multiply
    805.21x = 1,111.43 × 524.95
  4. Step 4: Simplify right side
    805.21x = 583,443.71
  5. Step 5: Solve for x
    x = 583,443.71/805.21
  6. Step 6: Final answer
    x = 724.59

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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.