Home / 1,160.46-1,739.79-430.02

Finding the Fourth Proportional to 1,160.46, 1,739.79 and 430.02

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Solution

The fourth proportional to 1,160.46, 1,739.79 and 430.02 is: 644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.46 : 1,739.79 = 430.02 : x
  2. Step 2: Convert to fraction form
    1,160.46/1,739.79 = 430.02/x
  3. Step 3: Cross multiply
    1,160.46x = 1,739.79 × 430.02
  4. Step 4: Simplify right side
    1,160.46x = 748,144.50
  5. Step 5: Solve for x
    x = 748,144.50/1,160.46
  6. Step 6: Final answer
    x = 644.70

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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.