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Finding the Fourth Proportional to 960.55, 1,430.79 and 947.79

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Solution

The fourth proportional to 960.55, 1,430.79 and 947.79 is: 1,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.55 : 1,430.79 = 947.79 : x
  2. Step 2: Convert to fraction form
    960.55/1,430.79 = 947.79/x
  3. Step 3: Cross multiply
    960.55x = 1,430.79 × 947.79
  4. Step 4: Simplify right side
    960.55x = 1,356,088.45
  5. Step 5: Solve for x
    x = 1,356,088.45/960.55
  6. Step 6: Final answer
    x = 1,411.78

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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.