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Finding the Fourth Proportional to 992.93, 1,490.67 and 982.58

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Solution

The fourth proportional to 992.93, 1,490.67 and 982.58 is: 1,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.93 : 1,490.67 = 982.58 : x
  2. Step 2: Convert to fraction form
    992.93/1,490.67 = 982.58/x
  3. Step 3: Cross multiply
    992.93x = 1,490.67 × 982.58
  4. Step 4: Simplify right side
    992.93x = 1,464,695.08
  5. Step 5: Solve for x
    x = 1,464,695.08/992.93
  6. Step 6: Final answer
    x = 1,475.13

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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.