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Finding the Fourth Proportional to 522.57, 783.95 and 175.86

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Solution

The fourth proportional to 522.57, 783.95 and 175.86 is: 263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.57 : 783.95 = 175.86 : x
  2. Step 2: Convert to fraction form
    522.57/783.95 = 175.86/x
  3. Step 3: Cross multiply
    522.57x = 783.95 × 175.86
  4. Step 4: Simplify right side
    522.57x = 137,864.57
  5. Step 5: Solve for x
    x = 137,864.57/522.57
  6. Step 6: Final answer
    x = 263.82

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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.