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Finding the Fourth Proportional to 805.64, 1,111.97 and 525.38

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Solution

The fourth proportional to 805.64, 1,111.97 and 525.38 is: 725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.64 : 1,111.97 = 525.38 : x
  2. Step 2: Convert to fraction form
    805.64/1,111.97 = 525.38/x
  3. Step 3: Cross multiply
    805.64x = 1,111.97 × 525.38
  4. Step 4: Simplify right side
    805.64x = 584,210.89
  5. Step 5: Solve for x
    x = 584,210.89/805.64
  6. Step 6: Final answer
    x = 725.15

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1.5x scale

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.