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Finding the Fourth Proportional to 706.50, 975.24 and 474.30

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Solution

The fourth proportional to 706.50, 975.24 and 474.30 is: 654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 975.24 = 474.30 : x
  2. Step 2: Convert to fraction form
    706.50/975.24 = 474.30/x
  3. Step 3: Cross multiply
    706.50x = 975.24 × 474.30
  4. Step 4: Simplify right side
    706.50x = 462,556.33
  5. Step 5: Solve for x
    x = 462,556.33/706.50
  6. Step 6: Final answer
    x = 654.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.