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Finding the Fourth Proportional to 887.41, 1,225.13 and 589.06

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Solution

The fourth proportional to 887.41, 1,225.13 and 589.06 is: 813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.41 : 1,225.13 = 589.06 : x
  2. Step 2: Convert to fraction form
    887.41/1,225.13 = 589.06/x
  3. Step 3: Cross multiply
    887.41x = 1,225.13 × 589.06
  4. Step 4: Simplify right side
    887.41x = 721,675.08
  5. Step 5: Solve for x
    x = 721,675.08/887.41
  6. Step 6: Final answer
    x = 813.24

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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.