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Finding the Fourth Proportional to 676.03, 1,015.13 and 532.93

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Solution

The fourth proportional to 676.03, 1,015.13 and 532.93 is: 800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.03 : 1,015.13 = 532.93 : x
  2. Step 2: Convert to fraction form
    676.03/1,015.13 = 532.93/x
  3. Step 3: Cross multiply
    676.03x = 1,015.13 × 532.93
  4. Step 4: Simplify right side
    676.03x = 540,993.23
  5. Step 5: Solve for x
    x = 540,993.23/676.03
  6. Step 6: Final answer
    x = 800.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.