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Finding the Fourth Proportional to 945.88, 1,421.35 and 807.50

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Solution

The fourth proportional to 945.88, 1,421.35 and 807.50 is: 1,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.88 : 1,421.35 = 807.50 : x
  2. Step 2: Convert to fraction form
    945.88/1,421.35 = 807.50/x
  3. Step 3: Cross multiply
    945.88x = 1,421.35 × 807.50
  4. Step 4: Simplify right side
    945.88x = 1,147,741.66
  5. Step 5: Solve for x
    x = 1,147,741.66/945.88
  6. Step 6: Final answer
    x = 1,213.41

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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.