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Finding the Fourth Proportional to 570.74, 851.93 and 490.10

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Solution

The fourth proportional to 570.74, 851.93 and 490.10 is: 731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.74 : 851.93 = 490.10 : x
  2. Step 2: Convert to fraction form
    570.74/851.93 = 490.10/x
  3. Step 3: Cross multiply
    570.74x = 851.93 × 490.10
  4. Step 4: Simplify right side
    570.74x = 417,530.89
  5. Step 5: Solve for x
    x = 417,530.89/570.74
  6. Step 6: Final answer
    x = 731.56

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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.