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Finding the Fourth Proportional to 510.21, 767.88 and 459.90

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Solution

The fourth proportional to 510.21, 767.88 and 459.90 is: 692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.21 : 767.88 = 459.90 : x
  2. Step 2: Convert to fraction form
    510.21/767.88 = 459.90/x
  3. Step 3: Cross multiply
    510.21x = 767.88 × 459.90
  4. Step 4: Simplify right side
    510.21x = 353,148.01
  5. Step 5: Solve for x
    x = 353,148.01/510.21
  6. Step 6: Final answer
    x = 692.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.