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Finding the Fourth Proportional to 880.07, 1,318.64 and 533.49

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Solution

The fourth proportional to 880.07, 1,318.64 and 533.49 is: 799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.07 : 1,318.64 = 533.49 : x
  2. Step 2: Convert to fraction form
    880.07/1,318.64 = 533.49/x
  3. Step 3: Cross multiply
    880.07x = 1,318.64 × 533.49
  4. Step 4: Simplify right side
    880.07x = 703,479.92
  5. Step 5: Solve for x
    x = 703,479.92/880.07
  6. Step 6: Final answer
    x = 799.35

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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.