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Finding the Fourth Proportional to 988.50, 1,364.13 and 574.74

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Solution

The fourth proportional to 988.50, 1,364.13 and 574.74 is: 793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.50 : 1,364.13 = 574.74 : x
  2. Step 2: Convert to fraction form
    988.50/1,364.13 = 574.74/x
  3. Step 3: Cross multiply
    988.50x = 1,364.13 × 574.74
  4. Step 4: Simplify right side
    988.50x = 784,020.08
  5. Step 5: Solve for x
    x = 784,020.08/988.50
  6. Step 6: Final answer
    x = 793.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.