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Finding the Fourth Proportional to 841.50, 1,161.36 and 509.95

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Solution

The fourth proportional to 841.50, 1,161.36 and 509.95 is: 703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.50 : 1,161.36 = 509.95 : x
  2. Step 2: Convert to fraction form
    841.50/1,161.36 = 509.95/x
  3. Step 3: Cross multiply
    841.50x = 1,161.36 × 509.95
  4. Step 4: Simplify right side
    841.50x = 592,235.53
  5. Step 5: Solve for x
    x = 592,235.53/841.50
  6. Step 6: Final answer
    x = 703.79

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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.