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Finding the Fourth Proportional to 510.08, 703.85 and 289.02

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Solution

The fourth proportional to 510.08, 703.85 and 289.02 is: 398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.08 : 703.85 = 289.02 : x
  2. Step 2: Convert to fraction form
    510.08/703.85 = 289.02/x
  3. Step 3: Cross multiply
    510.08x = 703.85 × 289.02
  4. Step 4: Simplify right side
    510.08x = 203,427.45
  5. Step 5: Solve for x
    x = 203,427.45/510.08
  6. Step 6: Final answer
    x = 398.82

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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.