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Finding the Fourth Proportional to 1,470.58, 2,205.51 and 649.06

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Solution

The fourth proportional to 1,470.58, 2,205.51 and 649.06 is: 973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.58 : 2,205.51 = 649.06 : x
  2. Step 2: Convert to fraction form
    1,470.58/2,205.51 = 649.06/x
  3. Step 3: Cross multiply
    1,470.58x = 2,205.51 × 649.06
  4. Step 4: Simplify right side
    1,470.58x = 1,431,508.32
  5. Step 5: Solve for x
    x = 1,431,508.32/1,470.58
  6. Step 6: Final answer
    x = 973.43

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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.