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Finding the Fourth Proportional to 703.65, 1,055.70 and 472.80

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Solution

The fourth proportional to 703.65, 1,055.70 and 472.80 is: 709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.65 : 1,055.70 = 472.80 : x
  2. Step 2: Convert to fraction form
    703.65/1,055.70 = 472.80/x
  3. Step 3: Cross multiply
    703.65x = 1,055.70 × 472.80
  4. Step 4: Simplify right side
    703.65x = 499,134.96
  5. Step 5: Solve for x
    x = 499,134.96/703.65
  6. Step 6: Final answer
    x = 709.35

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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.