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Finding the Fourth Proportional to 1,108.14, 1,530.14 and 715.83

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Solution

The fourth proportional to 1,108.14, 1,530.14 and 715.83 is: 988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.14 : 1,530.14 = 715.83 : x
  2. Step 2: Convert to fraction form
    1,108.14/1,530.14 = 715.83/x
  3. Step 3: Cross multiply
    1,108.14x = 1,530.14 × 715.83
  4. Step 4: Simplify right side
    1,108.14x = 1,095,316.54
  5. Step 5: Solve for x
    x = 1,095,316.54/1,108.14
  6. Step 6: Final answer
    x = 988.43

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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.