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Finding the Fourth Proportional to 880.30, 1,215.30 and 586

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Solution

The fourth proportional to 880.30, 1,215.30 and 586 is: 809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.30 : 1,215.30 = 586 : x
  2. Step 2: Convert to fraction form
    880.30/1,215.30 = 586/x
  3. Step 3: Cross multiply
    880.30x = 1,215.30 × 586
  4. Step 4: Simplify right side
    880.30x = 712,165.80
  5. Step 5: Solve for x
    x = 712,165.80/880.30
  6. Step 6: Final answer
    x = 809.00

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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.