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Finding the Fourth Proportional to 707.59, 1,061.04 and 415.66

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Solution

The fourth proportional to 707.59, 1,061.04 and 415.66 is: 623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.59 : 1,061.04 = 415.66 : x
  2. Step 2: Convert to fraction form
    707.59/1,061.04 = 415.66/x
  3. Step 3: Cross multiply
    707.59x = 1,061.04 × 415.66
  4. Step 4: Simplify right side
    707.59x = 441,031.89
  5. Step 5: Solve for x
    x = 441,031.89/707.59
  6. Step 6: Final answer
    x = 623.29

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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.