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Finding the Fourth Proportional to 1,010.91, 1,514.93 and 577.17

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Solution

The fourth proportional to 1,010.91, 1,514.93 and 577.17 is: 864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.91 : 1,514.93 = 577.17 : x
  2. Step 2: Convert to fraction form
    1,010.91/1,514.93 = 577.17/x
  3. Step 3: Cross multiply
    1,010.91x = 1,514.93 × 577.17
  4. Step 4: Simplify right side
    1,010.91x = 874,369.26
  5. Step 5: Solve for x
    x = 874,369.26/1,010.91
  6. Step 6: Final answer
    x = 864.93

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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.