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Finding the Fourth Proportional to 510.40, 704.24 and 289.36

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Solution

The fourth proportional to 510.40, 704.24 and 289.36 is: 399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.40 : 704.24 = 289.36 : x
  2. Step 2: Convert to fraction form
    510.40/704.24 = 289.36/x
  3. Step 3: Cross multiply
    510.40x = 704.24 × 289.36
  4. Step 4: Simplify right side
    510.40x = 203,778.89
  5. Step 5: Solve for x
    x = 203,778.89/510.40
  6. Step 6: Final answer
    x = 399.25

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1.5x scale

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.