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Finding the Fourth Proportional to 510.03, 760.59 and 454.02

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Solution

The fourth proportional to 510.03, 760.59 and 454.02 is: 677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.03 : 760.59 = 454.02 : x
  2. Step 2: Convert to fraction form
    510.03/760.59 = 454.02/x
  3. Step 3: Cross multiply
    510.03x = 760.59 × 454.02
  4. Step 4: Simplify right side
    510.03x = 345,323.07
  5. Step 5: Solve for x
    x = 345,323.07/510.03
  6. Step 6: Final answer
    x = 677.06

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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.