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Finding the Fourth Proportional to 707.95, 1,061.94 and 417.49

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Solution

The fourth proportional to 707.95, 1,061.94 and 417.49 is: 626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.95 : 1,061.94 = 417.49 : x
  2. Step 2: Convert to fraction form
    707.95/1,061.94 = 417.49/x
  3. Step 3: Cross multiply
    707.95x = 1,061.94 × 417.49
  4. Step 4: Simplify right side
    707.95x = 443,350.66
  5. Step 5: Solve for x
    x = 443,350.66/707.95
  6. Step 6: Final answer
    x = 626.25

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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.