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Finding the Fourth Proportional to 715.65, 1,065.95 and 684.06

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Solution

The fourth proportional to 715.65, 1,065.95 and 684.06 is: 1,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.65 : 1,065.95 = 684.06 : x
  2. Step 2: Convert to fraction form
    715.65/1,065.95 = 684.06/x
  3. Step 3: Cross multiply
    715.65x = 1,065.95 × 684.06
  4. Step 4: Simplify right side
    715.65x = 729,170.34
  5. Step 5: Solve for x
    x = 729,170.34/715.65
  6. Step 6: Final answer
    x = 1,018.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.