Home / 1,316.57-1,974.56-585.75

Finding the Fourth Proportional to 1,316.57, 1,974.56 and 585.75

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Solution

The fourth proportional to 1,316.57, 1,974.56 and 585.75 is: 878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.57 : 1,974.56 = 585.75 : x
  2. Step 2: Convert to fraction form
    1,316.57/1,974.56 = 585.75/x
  3. Step 3: Cross multiply
    1,316.57x = 1,974.56 × 585.75
  4. Step 4: Simplify right side
    1,316.57x = 1,156,595.59
  5. Step 5: Solve for x
    x = 1,156,595.59/1,316.57
  6. Step 6: Final answer
    x = 878.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.