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Finding the Fourth Proportional to 709.65, 1,056.96 and 678.06

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Solution

The fourth proportional to 709.65, 1,056.96 and 678.06 is: 1,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.65 : 1,056.96 = 678.06 : x
  2. Step 2: Convert to fraction form
    709.65/1,056.96 = 678.06/x
  3. Step 3: Cross multiply
    709.65x = 1,056.96 × 678.06
  4. Step 4: Simplify right side
    709.65x = 716,682.30
  5. Step 5: Solve for x
    x = 716,682.30/709.65
  6. Step 6: Final answer
    x = 1,009.91

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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.