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Finding the Fourth Proportional to 678.24, 933.44 and 537.92

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Solution

The fourth proportional to 678.24, 933.44 and 537.92 is: 740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.24 : 933.44 = 537.92 : x
  2. Step 2: Convert to fraction form
    678.24/933.44 = 537.92/x
  3. Step 3: Cross multiply
    678.24x = 933.44 × 537.92
  4. Step 4: Simplify right side
    678.24x = 502,116.04
  5. Step 5: Solve for x
    x = 502,116.04/678.24
  6. Step 6: Final answer
    x = 740.32

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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.