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Finding the Fourth Proportional to 874.64, 1,309.44 and 508.32

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Solution

The fourth proportional to 874.64, 1,309.44 and 508.32 is: 761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.64 : 1,309.44 = 508.32 : x
  2. Step 2: Convert to fraction form
    874.64/1,309.44 = 508.32/x
  3. Step 3: Cross multiply
    874.64x = 1,309.44 × 508.32
  4. Step 4: Simplify right side
    874.64x = 665,614.54
  5. Step 5: Solve for x
    x = 665,614.54/874.64
  6. Step 6: Final answer
    x = 761.02

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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.