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Finding the Fourth Proportional to 474.88, 711.68 and 390.40

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Solution

The fourth proportional to 474.88, 711.68 and 390.40 is: 585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.88 : 711.68 = 390.40 : x
  2. Step 2: Convert to fraction form
    474.88/711.68 = 390.40/x
  3. Step 3: Cross multiply
    474.88x = 711.68 × 390.40
  4. Step 4: Simplify right side
    474.88x = 277,839.87
  5. Step 5: Solve for x
    x = 277,839.87/474.88
  6. Step 6: Final answer
    x = 585.07

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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.