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Finding the Fourth Proportional to 1,242.69, 1,715.19 and 972.98

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Solution

The fourth proportional to 1,242.69, 1,715.19 and 972.98 is: 1,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.69 : 1,715.19 = 972.98 : x
  2. Step 2: Convert to fraction form
    1,242.69/1,715.19 = 972.98/x
  3. Step 3: Cross multiply
    1,242.69x = 1,715.19 × 972.98
  4. Step 4: Simplify right side
    1,242.69x = 1,668,845.57
  5. Step 5: Solve for x
    x = 1,668,845.57/1,242.69
  6. Step 6: Final answer
    x = 1,342.93

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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.