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Finding the Fourth Proportional to 953.34, 1,430.34 and 491.25

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Solution

The fourth proportional to 953.34, 1,430.34 and 491.25 is: 737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.34 : 1,430.34 = 491.25 : x
  2. Step 2: Convert to fraction form
    953.34/1,430.34 = 491.25/x
  3. Step 3: Cross multiply
    953.34x = 1,430.34 × 491.25
  4. Step 4: Simplify right side
    953.34x = 702,654.53
  5. Step 5: Solve for x
    x = 702,654.53/953.34
  6. Step 6: Final answer
    x = 737.05

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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.