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Finding the Fourth Proportional to 953.59, 1,430.66 and 491.70

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Solution

The fourth proportional to 953.59, 1,430.66 and 491.70 is: 737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.59 : 1,430.66 = 491.70 : x
  2. Step 2: Convert to fraction form
    953.59/1,430.66 = 491.70/x
  3. Step 3: Cross multiply
    953.59x = 1,430.66 × 491.70
  4. Step 4: Simplify right side
    953.59x = 703,450.05
  5. Step 5: Solve for x
    x = 703,450.05/953.59
  6. Step 6: Final answer
    x = 737.69

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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.