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Finding the Fourth Proportional to 992.69, 1,487.42 and 954.77

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Solution

The fourth proportional to 992.69, 1,487.42 and 954.77 is: 1,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.69 : 1,487.42 = 954.77 : x
  2. Step 2: Convert to fraction form
    992.69/1,487.42 = 954.77/x
  3. Step 3: Cross multiply
    992.69x = 1,487.42 × 954.77
  4. Step 4: Simplify right side
    992.69x = 1,420,139.22
  5. Step 5: Solve for x
    x = 1,420,139.22/992.69
  6. Step 6: Final answer
    x = 1,430.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.