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Finding the Fourth Proportional to 1,015.49, 1,401.39 and 595.74

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Solution

The fourth proportional to 1,015.49, 1,401.39 and 595.74 is: 822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.49 : 1,401.39 = 595.74 : x
  2. Step 2: Convert to fraction form
    1,015.49/1,401.39 = 595.74/x
  3. Step 3: Cross multiply
    1,015.49x = 1,401.39 × 595.74
  4. Step 4: Simplify right side
    1,015.49x = 834,864.08
  5. Step 5: Solve for x
    x = 834,864.08/1,015.49
  6. Step 6: Final answer
    x = 822.13

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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.