Home / 1,159.59-1,739.79-510.38

Finding the Fourth Proportional to 1,159.59, 1,739.79 and 510.38

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Solution

The fourth proportional to 1,159.59, 1,739.79 and 510.38 is: 765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.59 : 1,739.79 = 510.38 : x
  2. Step 2: Convert to fraction form
    1,159.59/1,739.79 = 510.38/x
  3. Step 3: Cross multiply
    1,159.59x = 1,739.79 × 510.38
  4. Step 4: Simplify right side
    1,159.59x = 887,945.32
  5. Step 5: Solve for x
    x = 887,945.32/1,159.59
  6. Step 6: Final answer
    x = 765.74

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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.