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Finding the Fourth Proportional to 704, 1,054.76 and 429.68

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Solution

The fourth proportional to 704, 1,054.76 and 429.68 is: 643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    704 : 1,054.76 = 429.68 : x
  2. Step 2: Convert to fraction form
    704/1,054.76 = 429.68/x
  3. Step 3: Cross multiply
    704x = 1,054.76 × 429.68
  4. Step 4: Simplify right side
    704x = 453,209.28
  5. Step 5: Solve for x
    x = 453,209.28/704
  6. Step 6: Final answer
    x = 643.76

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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.