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Finding the Fourth Proportional to 651.53, 977.50 and 468.77

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Solution

The fourth proportional to 651.53, 977.50 and 468.77 is: 703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.53 : 977.50 = 468.77 : x
  2. Step 2: Convert to fraction form
    651.53/977.50 = 468.77/x
  3. Step 3: Cross multiply
    651.53x = 977.50 × 468.77
  4. Step 4: Simplify right side
    651.53x = 458,217.79
  5. Step 5: Solve for x
    x = 458,217.79/651.53
  6. Step 6: Final answer
    x = 703.30

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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.