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Finding the Fourth Proportional to 740.52, 1,109.90 and 603.80

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Solution

The fourth proportional to 740.52, 1,109.90 and 603.80 is: 904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.52 : 1,109.90 = 603.80 : x
  2. Step 2: Convert to fraction form
    740.52/1,109.90 = 603.80/x
  3. Step 3: Cross multiply
    740.52x = 1,109.90 × 603.80
  4. Step 4: Simplify right side
    740.52x = 670,157.62
  5. Step 5: Solve for x
    x = 670,157.62/740.52
  6. Step 6: Final answer
    x = 904.98

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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.