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Finding the Fourth Proportional to 687.57, 948.33 and 448.35

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Solution

The fourth proportional to 687.57, 948.33 and 448.35 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.57 : 948.33 = 448.35 : x
  2. Step 2: Convert to fraction form
    687.57/948.33 = 448.35/x
  3. Step 3: Cross multiply
    687.57x = 948.33 × 448.35
  4. Step 4: Simplify right side
    687.57x = 425,180.20
  5. Step 5: Solve for x
    x = 425,180.20/687.57
  6. Step 6: Final answer
    x = 618.38

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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.