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Finding the Fourth Proportional to 992.56, 1,486.40 and 818.16

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Solution

The fourth proportional to 992.56, 1,486.40 and 818.16 is: 1,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.56 : 1,486.40 = 818.16 : x
  2. Step 2: Convert to fraction form
    992.56/1,486.40 = 818.16/x
  3. Step 3: Cross multiply
    992.56x = 1,486.40 × 818.16
  4. Step 4: Simplify right side
    992.56x = 1,216,113.02
  5. Step 5: Solve for x
    x = 1,216,113.02/992.56
  6. Step 6: Final answer
    x = 1,225.23

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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.