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Finding the Fourth Proportional to 960.35, 1,430.87 and 897.48

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Solution

The fourth proportional to 960.35, 1,430.87 and 897.48 is: 1,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.35 : 1,430.87 = 897.48 : x
  2. Step 2: Convert to fraction form
    960.35/1,430.87 = 897.48/x
  3. Step 3: Cross multiply
    960.35x = 1,430.87 × 897.48
  4. Step 4: Simplify right side
    960.35x = 1,284,172.72
  5. Step 5: Solve for x
    x = 1,284,172.72/960.35
  6. Step 6: Final answer
    x = 1,337.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.