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Finding the Fourth Proportional to 953.77, 1,430.67 and 691.33

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Solution

The fourth proportional to 953.77, 1,430.67 and 691.33 is: 1,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.77 : 1,430.67 = 691.33 : x
  2. Step 2: Convert to fraction form
    953.77/1,430.67 = 691.33/x
  3. Step 3: Cross multiply
    953.77x = 1,430.67 × 691.33
  4. Step 4: Simplify right side
    953.77x = 989,065.09
  5. Step 5: Solve for x
    x = 989,065.09/953.77
  6. Step 6: Final answer
    x = 1,037.01

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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.