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Finding the Fourth Proportional to 651.67, 977.58 and 304.95

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Solution

The fourth proportional to 651.67, 977.58 and 304.95 is: 457.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.67 : 977.58 = 304.95 : x
  2. Step 2: Convert to fraction form
    651.67/977.58 = 304.95/x
  3. Step 3: Cross multiply
    651.67x = 977.58 × 304.95
  4. Step 4: Simplify right side
    651.67x = 298,113.02
  5. Step 5: Solve for x
    x = 298,113.02/651.67
  6. Step 6: Final answer
    x = 457.46

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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.