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Finding the Fourth Proportional to 472.01, 706.64 and 437.83

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Solution

The fourth proportional to 472.01, 706.64 and 437.83 is: 655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.01 : 706.64 = 437.83 : x
  2. Step 2: Convert to fraction form
    472.01/706.64 = 437.83/x
  3. Step 3: Cross multiply
    472.01x = 706.64 × 437.83
  4. Step 4: Simplify right side
    472.01x = 309,384.24
  5. Step 5: Solve for x
    x = 309,384.24/472.01
  6. Step 6: Final answer
    x = 655.47

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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.