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Finding the Fourth Proportional to 988.95, 1,484.96 and 945.13

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Solution

The fourth proportional to 988.95, 1,484.96 and 945.13 is: 1,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.95 : 1,484.96 = 945.13 : x
  2. Step 2: Convert to fraction form
    988.95/1,484.96 = 945.13/x
  3. Step 3: Cross multiply
    988.95x = 1,484.96 × 945.13
  4. Step 4: Simplify right side
    988.95x = 1,403,480.24
  5. Step 5: Solve for x
    x = 1,403,480.24/988.95
  6. Step 6: Final answer
    x = 1,419.16

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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.