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Finding the Fourth Proportional to 703.18, 1,054.23 and 429.13

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Solution

The fourth proportional to 703.18, 1,054.23 and 429.13 is: 643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.18 : 1,054.23 = 429.13 : x
  2. Step 2: Convert to fraction form
    703.18/1,054.23 = 429.13/x
  3. Step 3: Cross multiply
    703.18x = 1,054.23 × 429.13
  4. Step 4: Simplify right side
    703.18x = 452,401.72
  5. Step 5: Solve for x
    x = 452,401.72/703.18
  6. Step 6: Final answer
    x = 643.37

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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.