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Finding the Fourth Proportional to 522.70, 780.41 and 470.86

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Solution

The fourth proportional to 522.70, 780.41 and 470.86 is: 703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.70 : 780.41 = 470.86 : x
  2. Step 2: Convert to fraction form
    522.70/780.41 = 470.86/x
  3. Step 3: Cross multiply
    522.70x = 780.41 × 470.86
  4. Step 4: Simplify right side
    522.70x = 367,463.85
  5. Step 5: Solve for x
    x = 367,463.85/522.70
  6. Step 6: Final answer
    x = 703.01

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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.