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Finding the Fourth Proportional to 707.46, 1,065.36 and 617.22

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Solution

The fourth proportional to 707.46, 1,065.36 and 617.22 is: 929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.46 : 1,065.36 = 617.22 : x
  2. Step 2: Convert to fraction form
    707.46/1,065.36 = 617.22/x
  3. Step 3: Cross multiply
    707.46x = 1,065.36 × 617.22
  4. Step 4: Simplify right side
    707.46x = 657,561.50
  5. Step 5: Solve for x
    x = 657,561.50/707.46
  6. Step 6: Final answer
    x = 929.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.