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Finding the Fourth Proportional to 670.68, 924.62 and 473.85

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Solution

The fourth proportional to 670.68, 924.62 and 473.85 is: 653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.68 : 924.62 = 473.85 : x
  2. Step 2: Convert to fraction form
    670.68/924.62 = 473.85/x
  3. Step 3: Cross multiply
    670.68x = 924.62 × 473.85
  4. Step 4: Simplify right side
    670.68x = 438,128.82
  5. Step 5: Solve for x
    x = 438,128.82/670.68
  6. Step 6: Final answer
    x = 653.26

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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.