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Finding the Fourth Proportional to 1,009.72, 1,393.66 and 715.08

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Solution

The fourth proportional to 1,009.72, 1,393.66 and 715.08 is: 986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.72 : 1,393.66 = 715.08 : x
  2. Step 2: Convert to fraction form
    1,009.72/1,393.66 = 715.08/x
  3. Step 3: Cross multiply
    1,009.72x = 1,393.66 × 715.08
  4. Step 4: Simplify right side
    1,009.72x = 996,578.39
  5. Step 5: Solve for x
    x = 996,578.39/1,009.72
  6. Step 6: Final answer
    x = 986.98

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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.