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Finding the Fourth Proportional to 707.74, 1,061.30 and 519.72

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Solution

The fourth proportional to 707.74, 1,061.30 and 519.72 is: 779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.74 : 1,061.30 = 519.72 : x
  2. Step 2: Convert to fraction form
    707.74/1,061.30 = 519.72/x
  3. Step 3: Cross multiply
    707.74x = 1,061.30 × 519.72
  4. Step 4: Simplify right side
    707.74x = 551,576.16
  5. Step 5: Solve for x
    x = 551,576.16/707.74
  6. Step 6: Final answer
    x = 779.35

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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.