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Finding the Fourth Proportional to 703.52, 1,055.10 and 313.30

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Solution

The fourth proportional to 703.52, 1,055.10 and 313.30 is: 469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.52 : 1,055.10 = 313.30 : x
  2. Step 2: Convert to fraction form
    703.52/1,055.10 = 313.30/x
  3. Step 3: Cross multiply
    703.52x = 1,055.10 × 313.30
  4. Step 4: Simplify right side
    703.52x = 330,562.83
  5. Step 5: Solve for x
    x = 330,562.83/703.52
  6. Step 6: Final answer
    x = 469.87

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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.