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Finding the Fourth Proportional to 933.86, 1,399.77 and 587.45

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Solution

The fourth proportional to 933.86, 1,399.77 and 587.45 is: 880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.86 : 1,399.77 = 587.45 : x
  2. Step 2: Convert to fraction form
    933.86/1,399.77 = 587.45/x
  3. Step 3: Cross multiply
    933.86x = 1,399.77 × 587.45
  4. Step 4: Simplify right side
    933.86x = 822,287.89
  5. Step 5: Solve for x
    x = 822,287.89/933.86
  6. Step 6: Final answer
    x = 880.53

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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.