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Finding the Fourth Proportional to 511.10, 706.98 and 428.07

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Solution

The fourth proportional to 511.10, 706.98 and 428.07 is: 592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.10 : 706.98 = 428.07 : x
  2. Step 2: Convert to fraction form
    511.10/706.98 = 428.07/x
  3. Step 3: Cross multiply
    511.10x = 706.98 × 428.07
  4. Step 4: Simplify right side
    511.10x = 302,636.93
  5. Step 5: Solve for x
    x = 302,636.93/511.10
  6. Step 6: Final answer
    x = 592.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.