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Finding the Fourth Proportional to 880.61, 1,214.06 and 760.59

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Solution

The fourth proportional to 880.61, 1,214.06 and 760.59 is: 1,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.61 : 1,214.06 = 760.59 : x
  2. Step 2: Convert to fraction form
    880.61/1,214.06 = 760.59/x
  3. Step 3: Cross multiply
    880.61x = 1,214.06 × 760.59
  4. Step 4: Simplify right side
    880.61x = 923,398.09
  5. Step 5: Solve for x
    x = 923,398.09/880.61
  6. Step 6: Final answer
    x = 1,048.60

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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.