Home / 1,002.11-1,501.15-500.27

Finding the Fourth Proportional to 1,002.11, 1,501.15 and 500.27

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Solution

The fourth proportional to 1,002.11, 1,501.15 and 500.27 is: 749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.11 : 1,501.15 = 500.27 : x
  2. Step 2: Convert to fraction form
    1,002.11/1,501.15 = 500.27/x
  3. Step 3: Cross multiply
    1,002.11x = 1,501.15 × 500.27
  4. Step 4: Simplify right side
    1,002.11x = 750,980.31
  5. Step 5: Solve for x
    x = 750,980.31/1,002.11
  6. Step 6: Final answer
    x = 749.40

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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.