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Finding the Fourth Proportional to 580.56, 800.68 and 470

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Solution

The fourth proportional to 580.56, 800.68 and 470 is: 648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.56 : 800.68 = 470 : x
  2. Step 2: Convert to fraction form
    580.56/800.68 = 470/x
  3. Step 3: Cross multiply
    580.56x = 800.68 × 470
  4. Step 4: Simplify right side
    580.56x = 376,319.60
  5. Step 5: Solve for x
    x = 376,319.60/580.56
  6. Step 6: Final answer
    x = 648.20

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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.