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Finding the Fourth Proportional to 852.84, 1,176.76 and 503.58

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Solution

The fourth proportional to 852.84, 1,176.76 and 503.58 is: 694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.84 : 1,176.76 = 503.58 : x
  2. Step 2: Convert to fraction form
    852.84/1,176.76 = 503.58/x
  3. Step 3: Cross multiply
    852.84x = 1,176.76 × 503.58
  4. Step 4: Simplify right side
    852.84x = 592,592.80
  5. Step 5: Solve for x
    x = 592,592.80/852.84
  6. Step 6: Final answer
    x = 694.85

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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.