Home / 1,160.30-1,739.16-457.32

Finding the Fourth Proportional to 1,160.30, 1,739.16 and 457.32

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Solution

The fourth proportional to 1,160.30, 1,739.16 and 457.32 is: 685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.30 : 1,739.16 = 457.32 : x
  2. Step 2: Convert to fraction form
    1,160.30/1,739.16 = 457.32/x
  3. Step 3: Cross multiply
    1,160.30x = 1,739.16 × 457.32
  4. Step 4: Simplify right side
    1,160.30x = 795,352.65
  5. Step 5: Solve for x
    x = 795,352.65/1,160.30
  6. Step 6: Final answer
    x = 685.47

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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.