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Finding the Fourth Proportional to 852.77, 1,176.73 and 479.74

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Solution

The fourth proportional to 852.77, 1,176.73 and 479.74 is: 661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.77 : 1,176.73 = 479.74 : x
  2. Step 2: Convert to fraction form
    852.77/1,176.73 = 479.74/x
  3. Step 3: Cross multiply
    852.77x = 1,176.73 × 479.74
  4. Step 4: Simplify right side
    852.77x = 564,521.24
  5. Step 5: Solve for x
    x = 564,521.24/852.77
  6. Step 6: Final answer
    x = 661.99

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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.