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Finding the Fourth Proportional to 988.17, 1,364.24 and 709.13

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Solution

The fourth proportional to 988.17, 1,364.24 and 709.13 is: 978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.17 : 1,364.24 = 709.13 : x
  2. Step 2: Convert to fraction form
    988.17/1,364.24 = 709.13/x
  3. Step 3: Cross multiply
    988.17x = 1,364.24 × 709.13
  4. Step 4: Simplify right side
    988.17x = 967,413.14
  5. Step 5: Solve for x
    x = 967,413.14/988.17
  6. Step 6: Final answer
    x = 978.99

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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.