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Finding the Fourth Proportional to 1,010.51, 1,514.84 and 522.08

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Solution

The fourth proportional to 1,010.51, 1,514.84 and 522.08 is: 782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.51 : 1,514.84 = 522.08 : x
  2. Step 2: Convert to fraction form
    1,010.51/1,514.84 = 522.08/x
  3. Step 3: Cross multiply
    1,010.51x = 1,514.84 × 522.08
  4. Step 4: Simplify right side
    1,010.51x = 790,867.67
  5. Step 5: Solve for x
    x = 790,867.67/1,010.51
  6. Step 6: Final answer
    x = 782.64

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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.