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Finding the Fourth Proportional to 852.76, 1,176.96 and 503.65

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Solution

The fourth proportional to 852.76, 1,176.96 and 503.65 is: 695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.76 : 1,176.96 = 503.65 : x
  2. Step 2: Convert to fraction form
    852.76/1,176.96 = 503.65/x
  3. Step 3: Cross multiply
    852.76x = 1,176.96 × 503.65
  4. Step 4: Simplify right side
    852.76x = 592,775.90
  5. Step 5: Solve for x
    x = 592,775.90/852.76
  6. Step 6: Final answer
    x = 695.13

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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.