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Finding the Fourth Proportional to 703.02, 1,053.72 and 312.69

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Solution

The fourth proportional to 703.02, 1,053.72 and 312.69 is: 468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.02 : 1,053.72 = 312.69 : x
  2. Step 2: Convert to fraction form
    703.02/1,053.72 = 312.69/x
  3. Step 3: Cross multiply
    703.02x = 1,053.72 × 312.69
  4. Step 4: Simplify right side
    703.02x = 329,487.71
  5. Step 5: Solve for x
    x = 329,487.71/703.02
  6. Step 6: Final answer
    x = 468.67

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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.