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Finding the Fourth Proportional to 933.98, 1,400.19 and 471.51

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Solution

The fourth proportional to 933.98, 1,400.19 and 471.51 is: 706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.98 : 1,400.19 = 471.51 : x
  2. Step 2: Convert to fraction form
    933.98/1,400.19 = 471.51/x
  3. Step 3: Cross multiply
    933.98x = 1,400.19 × 471.51
  4. Step 4: Simplify right side
    933.98x = 660,201.82
  5. Step 5: Solve for x
    x = 660,201.82/933.98
  6. Step 6: Final answer
    x = 706.87

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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.