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Finding the Fourth Proportional to 798.65, 1,196.88 and 509.57

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Solution

The fourth proportional to 798.65, 1,196.88 and 509.57 is: 763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.65 : 1,196.88 = 509.57 : x
  2. Step 2: Convert to fraction form
    798.65/1,196.88 = 509.57/x
  3. Step 3: Cross multiply
    798.65x = 1,196.88 × 509.57
  4. Step 4: Simplify right side
    798.65x = 609,888.16
  5. Step 5: Solve for x
    x = 609,888.16/798.65
  6. Step 6: Final answer
    x = 763.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.