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Finding the Fourth Proportional to 580.04, 800.46 and 318.06

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Solution

The fourth proportional to 580.04, 800.46 and 318.06 is: 438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.04 : 800.46 = 318.06 : x
  2. Step 2: Convert to fraction form
    580.04/800.46 = 318.06/x
  3. Step 3: Cross multiply
    580.04x = 800.46 × 318.06
  4. Step 4: Simplify right side
    580.04x = 254,588.72
  5. Step 5: Solve for x
    x = 254,588.72/580.04
  6. Step 6: Final answer
    x = 438.92

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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.