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Finding the Fourth Proportional to 841.50, 1,161.37 and 509.91

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Solution

The fourth proportional to 841.50, 1,161.37 and 509.91 is: 703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.50 : 1,161.37 = 509.91 : x
  2. Step 2: Convert to fraction form
    841.50/1,161.37 = 509.91/x
  3. Step 3: Cross multiply
    841.50x = 1,161.37 × 509.91
  4. Step 4: Simplify right side
    841.50x = 592,194.18
  5. Step 5: Solve for x
    x = 592,194.18/841.50
  6. Step 6: Final answer
    x = 703.74

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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.