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Finding the Fourth Proportional to 939.98, 1,298.19 and 646.10

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Solution

The fourth proportional to 939.98, 1,298.19 and 646.10 is: 892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.98 : 1,298.19 = 646.10 : x
  2. Step 2: Convert to fraction form
    939.98/1,298.19 = 646.10/x
  3. Step 3: Cross multiply
    939.98x = 1,298.19 × 646.10
  4. Step 4: Simplify right side
    939.98x = 838,758.93
  5. Step 5: Solve for x
    x = 838,758.93/939.98
  6. Step 6: Final answer
    x = 892.32

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Half scale
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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.