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Finding the Fourth Proportional to 572.09, 856.74 and 297.77

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Solution

The fourth proportional to 572.09, 856.74 and 297.77 is: 445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.09 : 856.74 = 297.77 : x
  2. Step 2: Convert to fraction form
    572.09/856.74 = 297.77/x
  3. Step 3: Cross multiply
    572.09x = 856.74 × 297.77
  4. Step 4: Simplify right side
    572.09x = 255,111.47
  5. Step 5: Solve for x
    x = 255,111.47/572.09
  6. Step 6: Final answer
    x = 445.93

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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.