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Finding the Fourth Proportional to 704.55, 1,055.46 and 429.84

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Solution

The fourth proportional to 704.55, 1,055.46 and 429.84 is: 643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.55 : 1,055.46 = 429.84 : x
  2. Step 2: Convert to fraction form
    704.55/1,055.46 = 429.84/x
  3. Step 3: Cross multiply
    704.55x = 1,055.46 × 429.84
  4. Step 4: Simplify right side
    704.55x = 453,678.93
  5. Step 5: Solve for x
    x = 453,678.93/704.55
  6. Step 6: Final answer
    x = 643.93

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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.