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Finding the Fourth Proportional to 580.02, 798.75 and 405.06

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Solution

The fourth proportional to 580.02, 798.75 and 405.06 is: 557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.02 : 798.75 = 405.06 : x
  2. Step 2: Convert to fraction form
    580.02/798.75 = 405.06/x
  3. Step 3: Cross multiply
    580.02x = 798.75 × 405.06
  4. Step 4: Simplify right side
    580.02x = 323,541.68
  5. Step 5: Solve for x
    x = 323,541.68/580.02
  6. Step 6: Final answer
    x = 557.81

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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.