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Finding the Fourth Proportional to 572.37, 856.71 and 298.08

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Solution

The fourth proportional to 572.37, 856.71 and 298.08 is: 446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.37 : 856.71 = 298.08 : x
  2. Step 2: Convert to fraction form
    572.37/856.71 = 298.08/x
  3. Step 3: Cross multiply
    572.37x = 856.71 × 298.08
  4. Step 4: Simplify right side
    572.37x = 255,368.12
  5. Step 5: Solve for x
    x = 255,368.12/572.37
  6. Step 6: Final answer
    x = 446.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.