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Finding the Fourth Proportional to 522.63, 783.55 and 317.15

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Solution

The fourth proportional to 522.63, 783.55 and 317.15 is: 475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.63 : 783.55 = 317.15 : x
  2. Step 2: Convert to fraction form
    522.63/783.55 = 317.15/x
  3. Step 3: Cross multiply
    522.63x = 783.55 × 317.15
  4. Step 4: Simplify right side
    522.63x = 248,498.17
  5. Step 5: Solve for x
    x = 248,498.17/522.63
  6. Step 6: Final answer
    x = 475.48

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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.