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Finding the Fourth Proportional to 675.93, 933.28 and 414.30

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Solution

The fourth proportional to 675.93, 933.28 and 414.30 is: 572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.93 : 933.28 = 414.30 : x
  2. Step 2: Convert to fraction form
    675.93/933.28 = 414.30/x
  3. Step 3: Cross multiply
    675.93x = 933.28 × 414.30
  4. Step 4: Simplify right side
    675.93x = 386,656.87
  5. Step 5: Solve for x
    x = 386,656.87/675.93
  6. Step 6: Final answer
    x = 572.04

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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.