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Finding the Fourth Proportional to 670.02, 924.45 and 449.10

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Solution

The fourth proportional to 670.02, 924.45 and 449.10 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.02 : 924.45 = 449.10 : x
  2. Step 2: Convert to fraction form
    670.02/924.45 = 449.10/x
  3. Step 3: Cross multiply
    670.02x = 924.45 × 449.10
  4. Step 4: Simplify right side
    670.02x = 415,170.50
  5. Step 5: Solve for x
    x = 415,170.50/670.02
  6. Step 6: Final answer
    x = 619.64

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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.