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Finding the Fourth Proportional to 931.35, 1,281.87 and 744.24

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Solution

The fourth proportional to 931.35, 1,281.87 and 744.24 is: 1,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.35 : 1,281.87 = 744.24 : x
  2. Step 2: Convert to fraction form
    931.35/1,281.87 = 744.24/x
  3. Step 3: Cross multiply
    931.35x = 1,281.87 × 744.24
  4. Step 4: Simplify right side
    931.35x = 954,018.93
  5. Step 5: Solve for x
    x = 954,018.93/931.35
  6. Step 6: Final answer
    x = 1,024.34

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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.