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Finding the Fourth Proportional to 880.34, 1,215.23 and 585.50

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Solution

The fourth proportional to 880.34, 1,215.23 and 585.50 is: 808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.34 : 1,215.23 = 585.50 : x
  2. Step 2: Convert to fraction form
    880.34/1,215.23 = 585.50/x
  3. Step 3: Cross multiply
    880.34x = 1,215.23 × 585.50
  4. Step 4: Simplify right side
    880.34x = 711,508.16
  5. Step 5: Solve for x
    x = 711,508.16/880.34
  6. Step 6: Final answer
    x = 808.22

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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.