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Finding the Fourth Proportional to 992.65, 1,486.95 and 471.07

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Solution

The fourth proportional to 992.65, 1,486.95 and 471.07 is: 705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.65 : 1,486.95 = 471.07 : x
  2. Step 2: Convert to fraction form
    992.65/1,486.95 = 471.07/x
  3. Step 3: Cross multiply
    992.65x = 1,486.95 × 471.07
  4. Step 4: Simplify right side
    992.65x = 700,457.54
  5. Step 5: Solve for x
    x = 700,457.54/992.65
  6. Step 6: Final answer
    x = 705.64

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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.