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Finding the Fourth Proportional to 580.34, 798.18 and 463.70

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Solution

The fourth proportional to 580.34, 798.18 and 463.70 is: 637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.34 : 798.18 = 463.70 : x
  2. Step 2: Convert to fraction form
    580.34/798.18 = 463.70/x
  3. Step 3: Cross multiply
    580.34x = 798.18 × 463.70
  4. Step 4: Simplify right side
    580.34x = 370,116.07
  5. Step 5: Solve for x
    x = 370,116.07/580.34
  6. Step 6: Final answer
    x = 637.76

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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.