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Finding the Fourth Proportional to 543.88, 810.20 and 510.26

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Solution

The fourth proportional to 543.88, 810.20 and 510.26 is: 760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.88 : 810.20 = 510.26 : x
  2. Step 2: Convert to fraction form
    543.88/810.20 = 510.26/x
  3. Step 3: Cross multiply
    543.88x = 810.20 × 510.26
  4. Step 4: Simplify right side
    543.88x = 413,412.65
  5. Step 5: Solve for x
    x = 413,412.65/543.88
  6. Step 6: Final answer
    x = 760.12

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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.