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Finding the Fourth Proportional to 510.12, 760.93 and 461.48

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Solution

The fourth proportional to 510.12, 760.93 and 461.48 is: 688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.12 : 760.93 = 461.48 : x
  2. Step 2: Convert to fraction form
    510.12/760.93 = 461.48/x
  3. Step 3: Cross multiply
    510.12x = 760.93 × 461.48
  4. Step 4: Simplify right side
    510.12x = 351,153.98
  5. Step 5: Solve for x
    x = 351,153.98/510.12
  6. Step 6: Final answer
    x = 688.38

Related Problems

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Double scale
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Similar ratio
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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.