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Finding the Fourth Proportional to 960.78, 1,430.97 and 900.84

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Solution

The fourth proportional to 960.78, 1,430.97 and 900.84 is: 1,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.78 : 1,430.97 = 900.84 : x
  2. Step 2: Convert to fraction form
    960.78/1,430.97 = 900.84/x
  3. Step 3: Cross multiply
    960.78x = 1,430.97 × 900.84
  4. Step 4: Simplify right side
    960.78x = 1,289,075.01
  5. Step 5: Solve for x
    x = 1,289,075.01/960.78
  6. Step 6: Final answer
    x = 1,341.70

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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.