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Finding the Fourth Proportional to 651.60, 976.14 and 362.16

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Solution

The fourth proportional to 651.60, 976.14 and 362.16 is: 542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.60 : 976.14 = 362.16 : x
  2. Step 2: Convert to fraction form
    651.60/976.14 = 362.16/x
  3. Step 3: Cross multiply
    651.60x = 976.14 × 362.16
  4. Step 4: Simplify right side
    651.60x = 353,518.86
  5. Step 5: Solve for x
    x = 353,518.86/651.60
  6. Step 6: Final answer
    x = 542.54

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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.