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Finding the Fourth Proportional to 945.50, 1,418.20 and 287.35

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Solution

The fourth proportional to 945.50, 1,418.20 and 287.35 is: 431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.50 : 1,418.20 = 287.35 : x
  2. Step 2: Convert to fraction form
    945.50/1,418.20 = 287.35/x
  3. Step 3: Cross multiply
    945.50x = 1,418.20 × 287.35
  4. Step 4: Simplify right side
    945.50x = 407,515.51
  5. Step 5: Solve for x
    x = 407,515.51/945.50
  6. Step 6: Final answer
    x = 431.01

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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.