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Finding the Fourth Proportional to 570.78, 784.25 and 454.14

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Solution

The fourth proportional to 570.78, 784.25 and 454.14 is: 623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.78 : 784.25 = 454.14 : x
  2. Step 2: Convert to fraction form
    570.78/784.25 = 454.14/x
  3. Step 3: Cross multiply
    570.78x = 784.25 × 454.14
  4. Step 4: Simplify right side
    570.78x = 356,159.30
  5. Step 5: Solve for x
    x = 356,159.30/570.78
  6. Step 6: Final answer
    x = 623.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.