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Finding the Fourth Proportional to 947.28, 1,421.60 and 703.08

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Solution

The fourth proportional to 947.28, 1,421.60 and 703.08 is: 1,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.28 : 1,421.60 = 703.08 : x
  2. Step 2: Convert to fraction form
    947.28/1,421.60 = 703.08/x
  3. Step 3: Cross multiply
    947.28x = 1,421.60 × 703.08
  4. Step 4: Simplify right side
    947.28x = 999,498.53
  5. Step 5: Solve for x
    x = 999,498.53/947.28
  6. Step 6: Final answer
    x = 1,055.12

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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.