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Finding the Fourth Proportional to 705.07, 1,055.26 and 429.81

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Solution

The fourth proportional to 705.07, 1,055.26 and 429.81 is: 643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.07 : 1,055.26 = 429.81 : x
  2. Step 2: Convert to fraction form
    705.07/1,055.26 = 429.81/x
  3. Step 3: Cross multiply
    705.07x = 1,055.26 × 429.81
  4. Step 4: Simplify right side
    705.07x = 453,561.30
  5. Step 5: Solve for x
    x = 453,561.30/705.07
  6. Step 6: Final answer
    x = 643.29

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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.