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Finding the Fourth Proportional to 948.93, 1,309.82 and 918.15

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Solution

The fourth proportional to 948.93, 1,309.82 and 918.15 is: 1,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.93 : 1,309.82 = 918.15 : x
  2. Step 2: Convert to fraction form
    948.93/1,309.82 = 918.15/x
  3. Step 3: Cross multiply
    948.93x = 1,309.82 × 918.15
  4. Step 4: Simplify right side
    948.93x = 1,202,606.64
  5. Step 5: Solve for x
    x = 1,202,606.64/948.93
  6. Step 6: Final answer
    x = 1,267.33

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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.