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Finding the Fourth Proportional to 703.38, 1,055.20 and 460.38

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Solution

The fourth proportional to 703.38, 1,055.20 and 460.38 is: 690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.38 : 1,055.20 = 460.38 : x
  2. Step 2: Convert to fraction form
    703.38/1,055.20 = 460.38/x
  3. Step 3: Cross multiply
    703.38x = 1,055.20 × 460.38
  4. Step 4: Simplify right side
    703.38x = 485,792.98
  5. Step 5: Solve for x
    x = 485,792.98/703.38
  6. Step 6: Final answer
    x = 690.66

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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.