Home / 1,159.48-1,739.16-466.45

Finding the Fourth Proportional to 1,159.48, 1,739.16 and 466.45

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Solution

The fourth proportional to 1,159.48, 1,739.16 and 466.45 is: 699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.48 : 1,739.16 = 466.45 : x
  2. Step 2: Convert to fraction form
    1,159.48/1,739.16 = 466.45/x
  3. Step 3: Cross multiply
    1,159.48x = 1,739.16 × 466.45
  4. Step 4: Simplify right side
    1,159.48x = 811,231.18
  5. Step 5: Solve for x
    x = 811,231.18/1,159.48
  6. Step 6: Final answer
    x = 699.65

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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.