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Finding the Fourth Proportional to 510.35, 765.72 and 305.01

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Solution

The fourth proportional to 510.35, 765.72 and 305.01 is: 457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.35 : 765.72 = 305.01 : x
  2. Step 2: Convert to fraction form
    510.35/765.72 = 305.01/x
  3. Step 3: Cross multiply
    510.35x = 765.72 × 305.01
  4. Step 4: Simplify right side
    510.35x = 233,552.26
  5. Step 5: Solve for x
    x = 233,552.26/510.35
  6. Step 6: Final answer
    x = 457.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.