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Finding the Fourth Proportional to 947.46, 1,419.93 and 370.02

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Solution

The fourth proportional to 947.46, 1,419.93 and 370.02 is: 554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.46 : 1,419.93 = 370.02 : x
  2. Step 2: Convert to fraction form
    947.46/1,419.93 = 370.02/x
  3. Step 3: Cross multiply
    947.46x = 1,419.93 × 370.02
  4. Step 4: Simplify right side
    947.46x = 525,402.50
  5. Step 5: Solve for x
    x = 525,402.50/947.46
  6. Step 6: Final answer
    x = 554.54

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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.