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Finding the Fourth Proportional to 960.51, 1,440.84 and 597.77

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Solution

The fourth proportional to 960.51, 1,440.84 and 597.77 is: 896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.51 : 1,440.84 = 597.77 : x
  2. Step 2: Convert to fraction form
    960.51/1,440.84 = 597.77/x
  3. Step 3: Cross multiply
    960.51x = 1,440.84 × 597.77
  4. Step 4: Simplify right side
    960.51x = 861,290.93
  5. Step 5: Solve for x
    x = 861,290.93/960.51
  6. Step 6: Final answer
    x = 896.70

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Double scale
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1.5x scale

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.