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Finding the Fourth Proportional to 580.78, 798.78 and 507.16

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Solution

The fourth proportional to 580.78, 798.78 and 507.16 is: 697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.78 : 798.78 = 507.16 : x
  2. Step 2: Convert to fraction form
    580.78/798.78 = 507.16/x
  3. Step 3: Cross multiply
    580.78x = 798.78 × 507.16
  4. Step 4: Simplify right side
    580.78x = 405,109.26
  5. Step 5: Solve for x
    x = 405,109.26/580.78
  6. Step 6: Final answer
    x = 697.53

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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.