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Finding the Fourth Proportional to 510.09, 759.73 and 504.01

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Solution

The fourth proportional to 510.09, 759.73 and 504.01 is: 750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.09 : 759.73 = 504.01 : x
  2. Step 2: Convert to fraction form
    510.09/759.73 = 504.01/x
  3. Step 3: Cross multiply
    510.09x = 759.73 × 504.01
  4. Step 4: Simplify right side
    510.09x = 382,911.52
  5. Step 5: Solve for x
    x = 382,911.52/510.09
  6. Step 6: Final answer
    x = 750.67

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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.