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Finding the Fourth Proportional to 852.83, 1,177 and 474.76

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Solution

The fourth proportional to 852.83, 1,177 and 474.76 is: 655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.83 : 1,177 = 474.76 : x
  2. Step 2: Convert to fraction form
    852.83/1,177 = 474.76/x
  3. Step 3: Cross multiply
    852.83x = 1,177 × 474.76
  4. Step 4: Simplify right side
    852.83x = 558,792.52
  5. Step 5: Solve for x
    x = 558,792.52/852.83
  6. Step 6: Final answer
    x = 655.22

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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.