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Finding the Fourth Proportional to 522.40, 782.70 and 339.70

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Solution

The fourth proportional to 522.40, 782.70 and 339.70 is: 508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.40 : 782.70 = 339.70 : x
  2. Step 2: Convert to fraction form
    522.40/782.70 = 339.70/x
  3. Step 3: Cross multiply
    522.40x = 782.70 × 339.70
  4. Step 4: Simplify right side
    522.40x = 265,883.19
  5. Step 5: Solve for x
    x = 265,883.19/522.40
  6. Step 6: Final answer
    x = 508.96

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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.