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Finding the Fourth Proportional to 474.30, 705.06 and 459.72

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Solution

The fourth proportional to 474.30, 705.06 and 459.72 is: 683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.30 : 705.06 = 459.72 : x
  2. Step 2: Convert to fraction form
    474.30/705.06 = 459.72/x
  3. Step 3: Cross multiply
    474.30x = 705.06 × 459.72
  4. Step 4: Simplify right side
    474.30x = 324,130.18
  5. Step 5: Solve for x
    x = 324,130.18/474.30
  6. Step 6: Final answer
    x = 683.39

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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.