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Finding the Fourth Proportional to 510.51, 703.24 and 427.62

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Solution

The fourth proportional to 510.51, 703.24 and 427.62 is: 589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.51 : 703.24 = 427.62 : x
  2. Step 2: Convert to fraction form
    510.51/703.24 = 427.62/x
  3. Step 3: Cross multiply
    510.51x = 703.24 × 427.62
  4. Step 4: Simplify right side
    510.51x = 300,719.49
  5. Step 5: Solve for x
    x = 300,719.49/510.51
  6. Step 6: Final answer
    x = 589.06

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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.