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Finding the Fourth Proportional to 914.75, 1,262.42 and 511.00

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Solution

The fourth proportional to 914.75, 1,262.42 and 511.00 is: 705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.75 : 1,262.42 = 511.00 : x
  2. Step 2: Convert to fraction form
    914.75/1,262.42 = 511.00/x
  3. Step 3: Cross multiply
    914.75x = 1,262.42 × 511.00
  4. Step 4: Simplify right side
    914.75x = 645,094.74
  5. Step 5: Solve for x
    x = 645,094.74/914.75
  6. Step 6: Final answer
    x = 705.21

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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.