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Finding the Fourth Proportional to 707.95, 1,061.00 and 296.54

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Solution

The fourth proportional to 707.95, 1,061.00 and 296.54 is: 444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.95 : 1,061.00 = 296.54 : x
  2. Step 2: Convert to fraction form
    707.95/1,061.00 = 296.54/x
  3. Step 3: Cross multiply
    707.95x = 1,061.00 × 296.54
  4. Step 4: Simplify right side
    707.95x = 314,622.15
  5. Step 5: Solve for x
    x = 314,622.15/707.95
  6. Step 6: Final answer
    x = 444.42

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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.