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Finding the Fourth Proportional to 990.64, 1,484.76 and 714.82

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Solution

The fourth proportional to 990.64, 1,484.76 and 714.82 is: 1,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.64 : 1,484.76 = 714.82 : x
  2. Step 2: Convert to fraction form
    990.64/1,484.76 = 714.82/x
  3. Step 3: Cross multiply
    990.64x = 1,484.76 × 714.82
  4. Step 4: Simplify right side
    990.64x = 1,061,336.14
  5. Step 5: Solve for x
    x = 1,061,336.14/990.64
  6. Step 6: Final answer
    x = 1,071.36

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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.