Home / 1,742.65-2,613.89-510.08

Finding the Fourth Proportional to 1,742.65, 2,613.89 and 510.08

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Solution

The fourth proportional to 1,742.65, 2,613.89 and 510.08 is: 765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.65 : 2,613.89 = 510.08 : x
  2. Step 2: Convert to fraction form
    1,742.65/2,613.89 = 510.08/x
  3. Step 3: Cross multiply
    1,742.65x = 2,613.89 × 510.08
  4. Step 4: Simplify right side
    1,742.65x = 1,333,281.22
  5. Step 5: Solve for x
    x = 1,333,281.22/1,742.65
  6. Step 6: Final answer
    x = 765.09

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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.