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Finding the Fourth Proportional to 474.30, 706.50 and 472.07

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Solution

The fourth proportional to 474.30, 706.50 and 472.07 is: 703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.30 : 706.50 = 472.07 : x
  2. Step 2: Convert to fraction form
    474.30/706.50 = 472.07/x
  3. Step 3: Cross multiply
    474.30x = 706.50 × 472.07
  4. Step 4: Simplify right side
    474.30x = 333,519.22
  5. Step 5: Solve for x
    x = 333,519.22/474.30
  6. Step 6: Final answer
    x = 703.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.