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Finding the Fourth Proportional to 477, 719.01 and 437.50

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Solution

The fourth proportional to 477, 719.01 and 437.50 is: 659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 719.01 = 437.50 : x
  2. Step 2: Convert to fraction form
    477/719.01 = 437.50/x
  3. Step 3: Cross multiply
    477x = 719.01 × 437.50
  4. Step 4: Simplify right side
    477x = 314,566.88
  5. Step 5: Solve for x
    x = 314,566.88/477
  6. Step 6: Final answer
    x = 659.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.