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Finding the Fourth Proportional to 558.43, 840.59 and 509.23

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Solution

The fourth proportional to 558.43, 840.59 and 509.23 is: 766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.43 : 840.59 = 509.23 : x
  2. Step 2: Convert to fraction form
    558.43/840.59 = 509.23/x
  3. Step 3: Cross multiply
    558.43x = 840.59 × 509.23
  4. Step 4: Simplify right side
    558.43x = 428,053.65
  5. Step 5: Solve for x
    x = 428,053.65/558.43
  6. Step 6: Final answer
    x = 766.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.