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Finding the Fourth Proportional to 510.40, 760.70 and 499.42

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Solution

The fourth proportional to 510.40, 760.70 and 499.42 is: 744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.40 : 760.70 = 499.42 : x
  2. Step 2: Convert to fraction form
    510.40/760.70 = 499.42/x
  3. Step 3: Cross multiply
    510.40x = 760.70 × 499.42
  4. Step 4: Simplify right side
    510.40x = 379,908.79
  5. Step 5: Solve for x
    x = 379,908.79/510.40
  6. Step 6: Final answer
    x = 744.34

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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.