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Finding the Fourth Proportional to 988.79, 1,364.48 and 540.65

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Solution

The fourth proportional to 988.79, 1,364.48 and 540.65 is: 746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.79 : 1,364.48 = 540.65 : x
  2. Step 2: Convert to fraction form
    988.79/1,364.48 = 540.65/x
  3. Step 3: Cross multiply
    988.79x = 1,364.48 × 540.65
  4. Step 4: Simplify right side
    988.79x = 737,702.17
  5. Step 5: Solve for x
    x = 737,702.17/988.79
  6. Step 6: Final answer
    x = 746.07

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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.