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Finding the Fourth Proportional to 670.13, 1,004.79 and 258.93

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Solution

The fourth proportional to 670.13, 1,004.79 and 258.93 is: 388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.13 : 1,004.79 = 258.93 : x
  2. Step 2: Convert to fraction form
    670.13/1,004.79 = 258.93/x
  3. Step 3: Cross multiply
    670.13x = 1,004.79 × 258.93
  4. Step 4: Simplify right side
    670.13x = 260,171.25
  5. Step 5: Solve for x
    x = 260,171.25/670.13
  6. Step 6: Final answer
    x = 388.24

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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.