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Finding the Fourth Proportional to 473.08, 705.40 and 437.64

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Solution

The fourth proportional to 473.08, 705.40 and 437.64 is: 652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.08 : 705.40 = 437.64 : x
  2. Step 2: Convert to fraction form
    473.08/705.40 = 437.64/x
  3. Step 3: Cross multiply
    473.08x = 705.40 × 437.64
  4. Step 4: Simplify right side
    473.08x = 308,711.26
  5. Step 5: Solve for x
    x = 308,711.26/473.08
  6. Step 6: Final answer
    x = 652.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.