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Finding the Fourth Proportional to 615.86, 848.97 and 509.66

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Solution

The fourth proportional to 615.86, 848.97 and 509.66 is: 702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.86 : 848.97 = 509.66 : x
  2. Step 2: Convert to fraction form
    615.86/848.97 = 509.66/x
  3. Step 3: Cross multiply
    615.86x = 848.97 × 509.66
  4. Step 4: Simplify right side
    615.86x = 432,686.05
  5. Step 5: Solve for x
    x = 432,686.05/615.86
  6. Step 6: Final answer
    x = 702.57

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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.