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Finding the Fourth Proportional to 943.32, 1,413.30 and 429.24

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Solution

The fourth proportional to 943.32, 1,413.30 and 429.24 is: 643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.32 : 1,413.30 = 429.24 : x
  2. Step 2: Convert to fraction form
    943.32/1,413.30 = 429.24/x
  3. Step 3: Cross multiply
    943.32x = 1,413.30 × 429.24
  4. Step 4: Simplify right side
    943.32x = 606,644.89
  5. Step 5: Solve for x
    x = 606,644.89/943.32
  6. Step 6: Final answer
    x = 643.10

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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.