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Finding the Fourth Proportional to 510.36, 758.98 and 494.16

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Solution

The fourth proportional to 510.36, 758.98 and 494.16 is: 734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.36 : 758.98 = 494.16 : x
  2. Step 2: Convert to fraction form
    510.36/758.98 = 494.16/x
  3. Step 3: Cross multiply
    510.36x = 758.98 × 494.16
  4. Step 4: Simplify right side
    510.36x = 375,057.56
  5. Step 5: Solve for x
    x = 375,057.56/510.36
  6. Step 6: Final answer
    x = 734.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.