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Finding the Fourth Proportional to 1,009.63, 1,391.84 and 715.57

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Solution

The fourth proportional to 1,009.63, 1,391.84 and 715.57 is: 986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.63 : 1,391.84 = 715.57 : x
  2. Step 2: Convert to fraction form
    1,009.63/1,391.84 = 715.57/x
  3. Step 3: Cross multiply
    1,009.63x = 1,391.84 × 715.57
  4. Step 4: Simplify right side
    1,009.63x = 995,951.99
  5. Step 5: Solve for x
    x = 995,951.99/1,009.63
  6. Step 6: Final answer
    x = 986.46

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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.