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Finding the Fourth Proportional to 949.03, 1,309.71 and 715.75

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Solution

The fourth proportional to 949.03, 1,309.71 and 715.75 is: 987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.03 : 1,309.71 = 715.75 : x
  2. Step 2: Convert to fraction form
    949.03/1,309.71 = 715.75/x
  3. Step 3: Cross multiply
    949.03x = 1,309.71 × 715.75
  4. Step 4: Simplify right side
    949.03x = 937,424.93
  5. Step 5: Solve for x
    x = 937,424.93/949.03
  6. Step 6: Final answer
    x = 987.77

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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.