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Finding the Fourth Proportional to 948.82, 1,309.05 and 653.56

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Solution

The fourth proportional to 948.82, 1,309.05 and 653.56 is: 901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.82 : 1,309.05 = 653.56 : x
  2. Step 2: Convert to fraction form
    948.82/1,309.05 = 653.56/x
  3. Step 3: Cross multiply
    948.82x = 1,309.05 × 653.56
  4. Step 4: Simplify right side
    948.82x = 855,542.72
  5. Step 5: Solve for x
    x = 855,542.72/948.82
  6. Step 6: Final answer
    x = 901.69

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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.