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Finding the Fourth Proportional to 522.50, 782.02 and 400.06

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Solution

The fourth proportional to 522.50, 782.02 and 400.06 is: 598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.50 : 782.02 = 400.06 : x
  2. Step 2: Convert to fraction form
    522.50/782.02 = 400.06/x
  3. Step 3: Cross multiply
    522.50x = 782.02 × 400.06
  4. Step 4: Simplify right side
    522.50x = 312,854.92
  5. Step 5: Solve for x
    x = 312,854.92/522.50
  6. Step 6: Final answer
    x = 598.77

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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.