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Finding the Fourth Proportional to 651.54, 977.14 and 304.70

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Solution

The fourth proportional to 651.54, 977.14 and 304.70 is: 456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.54 : 977.14 = 304.70 : x
  2. Step 2: Convert to fraction form
    651.54/977.14 = 304.70/x
  3. Step 3: Cross multiply
    651.54x = 977.14 × 304.70
  4. Step 4: Simplify right side
    651.54x = 297,728.34
  5. Step 5: Solve for x
    x = 297,728.34/651.54
  6. Step 6: Final answer
    x = 456.96

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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.