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Finding the Fourth Proportional to 670.01, 1,005.36 and 319.01

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Solution

The fourth proportional to 670.01, 1,005.36 and 319.01 is: 478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.01 : 1,005.36 = 319.01 : x
  2. Step 2: Convert to fraction form
    670.01/1,005.36 = 319.01/x
  3. Step 3: Cross multiply
    670.01x = 1,005.36 × 319.01
  4. Step 4: Simplify right side
    670.01x = 320,721.17
  5. Step 5: Solve for x
    x = 320,721.17/670.01
  6. Step 6: Final answer
    x = 478.68

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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.