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Finding the Fourth Proportional to 522.40, 783.60 and 494.05

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Solution

The fourth proportional to 522.40, 783.60 and 494.05 is: 741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.40 : 783.60 = 494.05 : x
  2. Step 2: Convert to fraction form
    522.40/783.60 = 494.05/x
  3. Step 3: Cross multiply
    522.40x = 783.60 × 494.05
  4. Step 4: Simplify right side
    522.40x = 387,137.58
  5. Step 5: Solve for x
    x = 387,137.58/522.40
  6. Step 6: Final answer
    x = 741.08

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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.