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Finding the Fourth Proportional to 880.07, 1,214.31 and 525.90

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Solution

The fourth proportional to 880.07, 1,214.31 and 525.90 is: 725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.07 : 1,214.31 = 525.90 : x
  2. Step 2: Convert to fraction form
    880.07/1,214.31 = 525.90/x
  3. Step 3: Cross multiply
    880.07x = 1,214.31 × 525.90
  4. Step 4: Simplify right side
    880.07x = 638,605.63
  5. Step 5: Solve for x
    x = 638,605.63/880.07
  6. Step 6: Final answer
    x = 725.63

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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.