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Finding the Fourth Proportional to 621.17, 856.76 and 527.77

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Solution

The fourth proportional to 621.17, 856.76 and 527.77 is: 727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.17 : 856.76 = 527.77 : x
  2. Step 2: Convert to fraction form
    621.17/856.76 = 527.77/x
  3. Step 3: Cross multiply
    621.17x = 856.76 × 527.77
  4. Step 4: Simplify right side
    621.17x = 452,168.81
  5. Step 5: Solve for x
    x = 452,168.81/621.17
  6. Step 6: Final answer
    x = 727.93

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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.