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Finding the Fourth Proportional to 572.06, 856.98 and 376.47

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Solution

The fourth proportional to 572.06, 856.98 and 376.47 is: 563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.06 : 856.98 = 376.47 : x
  2. Step 2: Convert to fraction form
    572.06/856.98 = 376.47/x
  3. Step 3: Cross multiply
    572.06x = 856.98 × 376.47
  4. Step 4: Simplify right side
    572.06x = 322,628.67
  5. Step 5: Solve for x
    x = 322,628.67/572.06
  6. Step 6: Final answer
    x = 563.98

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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.