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Finding the Fourth Proportional to 856.17, 1,180.74 and 621.66

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Solution

The fourth proportional to 856.17, 1,180.74 and 621.66 is: 857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.17 : 1,180.74 = 621.66 : x
  2. Step 2: Convert to fraction form
    856.17/1,180.74 = 621.66/x
  3. Step 3: Cross multiply
    856.17x = 1,180.74 × 621.66
  4. Step 4: Simplify right side
    856.17x = 734,018.83
  5. Step 5: Solve for x
    x = 734,018.83/856.17
  6. Step 6: Final answer
    x = 857.33

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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.