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Finding the Fourth Proportional to 920.47, 1,378.95 and 714.02

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Solution

The fourth proportional to 920.47, 1,378.95 and 714.02 is: 1,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.47 : 1,378.95 = 714.02 : x
  2. Step 2: Convert to fraction form
    920.47/1,378.95 = 714.02/x
  3. Step 3: Cross multiply
    920.47x = 1,378.95 × 714.02
  4. Step 4: Simplify right side
    920.47x = 984,597.88
  5. Step 5: Solve for x
    x = 984,597.88/920.47
  6. Step 6: Final answer
    x = 1,069.67

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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.