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Finding the Fourth Proportional to 531.35, 790.77 and 511.91

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Solution

The fourth proportional to 531.35, 790.77 and 511.91 is: 761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.35 : 790.77 = 511.91 : x
  2. Step 2: Convert to fraction form
    531.35/790.77 = 511.91/x
  3. Step 3: Cross multiply
    531.35x = 790.77 × 511.91
  4. Step 4: Simplify right side
    531.35x = 404,803.07
  5. Step 5: Solve for x
    x = 404,803.07/531.35
  6. Step 6: Final answer
    x = 761.84

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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.