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Finding the Fourth Proportional to 1,015.02, 1,400.49 and 595.35

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Solution

The fourth proportional to 1,015.02, 1,400.49 and 595.35 is: 821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.02 : 1,400.49 = 595.35 : x
  2. Step 2: Convert to fraction form
    1,015.02/1,400.49 = 595.35/x
  3. Step 3: Cross multiply
    1,015.02x = 1,400.49 × 595.35
  4. Step 4: Simplify right side
    1,015.02x = 833,781.72
  5. Step 5: Solve for x
    x = 833,781.72/1,015.02
  6. Step 6: Final answer
    x = 821.44

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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.