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Finding the Fourth Proportional to 948.89, 1,309.70 and 686.86

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Solution

The fourth proportional to 948.89, 1,309.70 and 686.86 is: 948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.89 : 1,309.70 = 686.86 : x
  2. Step 2: Convert to fraction form
    948.89/1,309.70 = 686.86/x
  3. Step 3: Cross multiply
    948.89x = 1,309.70 × 686.86
  4. Step 4: Simplify right side
    948.89x = 899,580.54
  5. Step 5: Solve for x
    x = 899,580.54/948.89
  6. Step 6: Final answer
    x = 948.03

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1.5x scale

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.