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Finding the Fourth Proportional to 522.90, 783.45 and 340.20

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Solution

The fourth proportional to 522.90, 783.45 and 340.20 is: 509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.90 : 783.45 = 340.20 : x
  2. Step 2: Convert to fraction form
    522.90/783.45 = 340.20/x
  3. Step 3: Cross multiply
    522.90x = 783.45 × 340.20
  4. Step 4: Simplify right side
    522.90x = 266,529.69
  5. Step 5: Solve for x
    x = 266,529.69/522.90
  6. Step 6: Final answer
    x = 509.71

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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.