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Finding the Fourth Proportional to 954.75, 1,317.56 and 540.75

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Solution

The fourth proportional to 954.75, 1,317.56 and 540.75 is: 746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.75 : 1,317.56 = 540.75 : x
  2. Step 2: Convert to fraction form
    954.75/1,317.56 = 540.75/x
  3. Step 3: Cross multiply
    954.75x = 1,317.56 × 540.75
  4. Step 4: Simplify right side
    954.75x = 712,467.87
  5. Step 5: Solve for x
    x = 712,467.87/954.75
  6. Step 6: Final answer
    x = 746.24

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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.