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Finding the Fourth Proportional to 573.68, 856.54 and 470.71

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Solution

The fourth proportional to 573.68, 856.54 and 470.71 is: 702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.68 : 856.54 = 470.71 : x
  2. Step 2: Convert to fraction form
    573.68/856.54 = 470.71/x
  3. Step 3: Cross multiply
    573.68x = 856.54 × 470.71
  4. Step 4: Simplify right side
    573.68x = 403,183.60
  5. Step 5: Solve for x
    x = 403,183.60/573.68
  6. Step 6: Final answer
    x = 702.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.