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Finding the Fourth Proportional to 933.36, 1,287.40 and 614.16

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Solution

The fourth proportional to 933.36, 1,287.40 and 614.16 is: 847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.36 : 1,287.40 = 614.16 : x
  2. Step 2: Convert to fraction form
    933.36/1,287.40 = 614.16/x
  3. Step 3: Cross multiply
    933.36x = 1,287.40 × 614.16
  4. Step 4: Simplify right side
    933.36x = 790,669.58
  5. Step 5: Solve for x
    x = 790,669.58/933.36
  6. Step 6: Final answer
    x = 847.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.