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Finding the Fourth Proportional to 914.77, 1,262.14 and 521.65

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Solution

The fourth proportional to 914.77, 1,262.14 and 521.65 is: 719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.77 : 1,262.14 = 521.65 : x
  2. Step 2: Convert to fraction form
    914.77/1,262.14 = 521.65/x
  3. Step 3: Cross multiply
    914.77x = 1,262.14 × 521.65
  4. Step 4: Simplify right side
    914.77x = 658,395.33
  5. Step 5: Solve for x
    x = 658,395.33/914.77
  6. Step 6: Final answer
    x = 719.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.