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Finding the Fourth Proportional to 522.59, 784.39 and 436.47

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Solution

The fourth proportional to 522.59, 784.39 and 436.47 is: 655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.59 : 784.39 = 436.47 : x
  2. Step 2: Convert to fraction form
    522.59/784.39 = 436.47/x
  3. Step 3: Cross multiply
    522.59x = 784.39 × 436.47
  4. Step 4: Simplify right side
    522.59x = 342,362.70
  5. Step 5: Solve for x
    x = 342,362.70/522.59
  6. Step 6: Final answer
    x = 655.13

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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.