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Finding the Fourth Proportional to 572.48, 789.72 and 406.76

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Solution

The fourth proportional to 572.48, 789.72 and 406.76 is: 561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.48 : 789.72 = 406.76 : x
  2. Step 2: Convert to fraction form
    572.48/789.72 = 406.76/x
  3. Step 3: Cross multiply
    572.48x = 789.72 × 406.76
  4. Step 4: Simplify right side
    572.48x = 321,226.51
  5. Step 5: Solve for x
    x = 321,226.51/572.48
  6. Step 6: Final answer
    x = 561.11

Related Problems

Find fourth proportional to 286.24, 394.86 and 203.38
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Double scale
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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.