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Finding the Fourth Proportional to 740.24, 1,110.35 and 533.84

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Solution

The fourth proportional to 740.24, 1,110.35 and 533.84 is: 800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.24 : 1,110.35 = 533.84 : x
  2. Step 2: Convert to fraction form
    740.24/1,110.35 = 533.84/x
  3. Step 3: Cross multiply
    740.24x = 1,110.35 × 533.84
  4. Step 4: Simplify right side
    740.24x = 592,745.03
  5. Step 5: Solve for x
    x = 592,745.03/740.24
  6. Step 6: Final answer
    x = 800.75

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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.