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Finding the Fourth Proportional to 767.84, 1,059.35 and 505.40

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Solution

The fourth proportional to 767.84, 1,059.35 and 505.40 is: 697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.84 : 1,059.35 = 505.40 : x
  2. Step 2: Convert to fraction form
    767.84/1,059.35 = 505.40/x
  3. Step 3: Cross multiply
    767.84x = 1,059.35 × 505.40
  4. Step 4: Simplify right side
    767.84x = 535,387.67
  5. Step 5: Solve for x
    x = 535,387.67/767.84
  6. Step 6: Final answer
    x = 697.27

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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.