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Finding the Fourth Proportional to 511.94, 707.10 and 508.34

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Solution

The fourth proportional to 511.94, 707.10 and 508.34 is: 702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.94 : 707.10 = 508.34 : x
  2. Step 2: Convert to fraction form
    511.94/707.10 = 508.34/x
  3. Step 3: Cross multiply
    511.94x = 707.10 × 508.34
  4. Step 4: Simplify right side
    511.94x = 359,447.21
  5. Step 5: Solve for x
    x = 359,447.21/511.94
  6. Step 6: Final answer
    x = 702.13

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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.