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Finding the Fourth Proportional to 956.77, 1,320.24 and 583.85

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Solution

The fourth proportional to 956.77, 1,320.24 and 583.85 is: 805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.77 : 1,320.24 = 583.85 : x
  2. Step 2: Convert to fraction form
    956.77/1,320.24 = 583.85/x
  3. Step 3: Cross multiply
    956.77x = 1,320.24 × 583.85
  4. Step 4: Simplify right side
    956.77x = 770,825.42
  5. Step 5: Solve for x
    x = 770,825.42/956.77
  6. Step 6: Final answer
    x = 805.66

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.