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Finding the Fourth Proportional to 1,120.02, 1,681.02 and 470.86

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Solution

The fourth proportional to 1,120.02, 1,681.02 and 470.86 is: 706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.02 : 1,681.02 = 470.86 : x
  2. Step 2: Convert to fraction form
    1,120.02/1,681.02 = 470.86/x
  3. Step 3: Cross multiply
    1,120.02x = 1,681.02 × 470.86
  4. Step 4: Simplify right side
    1,120.02x = 791,525.08
  5. Step 5: Solve for x
    x = 791,525.08/1,120.02
  6. Step 6: Final answer
    x = 706.71

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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.