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Finding the Fourth Proportional to 566.07, 847.44 and 429.66

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Solution

The fourth proportional to 566.07, 847.44 and 429.66 is: 643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.07 : 847.44 = 429.66 : x
  2. Step 2: Convert to fraction form
    566.07/847.44 = 429.66/x
  3. Step 3: Cross multiply
    566.07x = 847.44 × 429.66
  4. Step 4: Simplify right side
    566.07x = 364,111.07
  5. Step 5: Solve for x
    x = 364,111.07/566.07
  6. Step 6: Final answer
    x = 643.23

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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.