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Finding the Fourth Proportional to 880.65, 1,215.32 and 502.52

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Solution

The fourth proportional to 880.65, 1,215.32 and 502.52 is: 693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.65 : 1,215.32 = 502.52 : x
  2. Step 2: Convert to fraction form
    880.65/1,215.32 = 502.52/x
  3. Step 3: Cross multiply
    880.65x = 1,215.32 × 502.52
  4. Step 4: Simplify right side
    880.65x = 610,714.02
  5. Step 5: Solve for x
    x = 610,714.02/880.65
  6. Step 6: Final answer
    x = 693.48

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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.