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Finding the Fourth Proportional to 948.57, 1,309.62 and 613.05

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Solution

The fourth proportional to 948.57, 1,309.62 and 613.05 is: 846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.57 : 1,309.62 = 613.05 : x
  2. Step 2: Convert to fraction form
    948.57/1,309.62 = 613.05/x
  3. Step 3: Cross multiply
    948.57x = 1,309.62 × 613.05
  4. Step 4: Simplify right side
    948.57x = 802,862.54
  5. Step 5: Solve for x
    x = 802,862.54/948.57
  6. Step 6: Final answer
    x = 846.39

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Double scale
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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.