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Finding the Fourth Proportional to 522.78, 783.45 and 460.86

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Solution

The fourth proportional to 522.78, 783.45 and 460.86 is: 690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.78 : 783.45 = 460.86 : x
  2. Step 2: Convert to fraction form
    522.78/783.45 = 460.86/x
  3. Step 3: Cross multiply
    522.78x = 783.45 × 460.86
  4. Step 4: Simplify right side
    522.78x = 361,060.77
  5. Step 5: Solve for x
    x = 361,060.77/522.78
  6. Step 6: Final answer
    x = 690.66

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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.