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Finding the Fourth Proportional to 1,574.10, 2,362.06 and 649.49

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Solution

The fourth proportional to 1,574.10, 2,362.06 and 649.49 is: 974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.10 : 2,362.06 = 649.49 : x
  2. Step 2: Convert to fraction form
    1,574.10/2,362.06 = 649.49/x
  3. Step 3: Cross multiply
    1,574.10x = 2,362.06 × 649.49
  4. Step 4: Simplify right side
    1,574.10x = 1,534,123.35
  5. Step 5: Solve for x
    x = 1,534,123.35/1,574.10
  6. Step 6: Final answer
    x = 974.60

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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.