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Finding the Fourth Proportional to 887.78, 1,225.44 and 514.91

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Solution

The fourth proportional to 887.78, 1,225.44 and 514.91 is: 710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.78 : 1,225.44 = 514.91 : x
  2. Step 2: Convert to fraction form
    887.78/1,225.44 = 514.91/x
  3. Step 3: Cross multiply
    887.78x = 1,225.44 × 514.91
  4. Step 4: Simplify right side
    887.78x = 630,985.18
  5. Step 5: Solve for x
    x = 630,985.18/887.78
  6. Step 6: Final answer
    x = 710.75

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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.