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Finding the Fourth Proportional to 989.99, 1,484.95 and 574.14

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Solution

The fourth proportional to 989.99, 1,484.95 and 574.14 is: 861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.99 : 1,484.95 = 574.14 : x
  2. Step 2: Convert to fraction form
    989.99/1,484.95 = 574.14/x
  3. Step 3: Cross multiply
    989.99x = 1,484.95 × 574.14
  4. Step 4: Simplify right side
    989.99x = 852,561.77
  5. Step 5: Solve for x
    x = 852,561.77/989.99
  6. Step 6: Final answer
    x = 861.19

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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.