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Finding the Fourth Proportional to 945.16, 1,416.78 and 533.80

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Solution

The fourth proportional to 945.16, 1,416.78 and 533.80 is: 800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.16 : 1,416.78 = 533.80 : x
  2. Step 2: Convert to fraction form
    945.16/1,416.78 = 533.80/x
  3. Step 3: Cross multiply
    945.16x = 1,416.78 × 533.80
  4. Step 4: Simplify right side
    945.16x = 756,277.16
  5. Step 5: Solve for x
    x = 756,277.16/945.16
  6. Step 6: Final answer
    x = 800.16

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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.