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Finding the Fourth Proportional to 522.90, 780.83 and 454.59

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Solution

The fourth proportional to 522.90, 780.83 and 454.59 is: 678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.90 : 780.83 = 454.59 : x
  2. Step 2: Convert to fraction form
    522.90/780.83 = 454.59/x
  3. Step 3: Cross multiply
    522.90x = 780.83 × 454.59
  4. Step 4: Simplify right side
    522.90x = 354,955.24
  5. Step 5: Solve for x
    x = 354,955.24/522.90
  6. Step 6: Final answer
    x = 678.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.