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Finding the Fourth Proportional to 471.02, 706.52 and 390.42

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Solution

The fourth proportional to 471.02, 706.52 and 390.42 is: 585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.02 : 706.52 = 390.42 : x
  2. Step 2: Convert to fraction form
    471.02/706.52 = 390.42/x
  3. Step 3: Cross multiply
    471.02x = 706.52 × 390.42
  4. Step 4: Simplify right side
    471.02x = 275,840.51
  5. Step 5: Solve for x
    x = 275,840.51/471.02
  6. Step 6: Final answer
    x = 585.63

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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.