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Finding the Fourth Proportional to 488.63, 672.50 and 475.07

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Solution

The fourth proportional to 488.63, 672.50 and 475.07 is: 653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.63 : 672.50 = 475.07 : x
  2. Step 2: Convert to fraction form
    488.63/672.50 = 475.07/x
  3. Step 3: Cross multiply
    488.63x = 672.50 × 475.07
  4. Step 4: Simplify right side
    488.63x = 319,482.40
  5. Step 5: Solve for x
    x = 319,482.40/488.63
  6. Step 6: Final answer
    x = 653.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.