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Finding the Fourth Proportional to 1,164.68, 1,747.70 and 471.65

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Solution

The fourth proportional to 1,164.68, 1,747.70 and 471.65 is: 707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.68 : 1,747.70 = 471.65 : x
  2. Step 2: Convert to fraction form
    1,164.68/1,747.70 = 471.65/x
  3. Step 3: Cross multiply
    1,164.68x = 1,747.70 × 471.65
  4. Step 4: Simplify right side
    1,164.68x = 824,302.71
  5. Step 5: Solve for x
    x = 824,302.71/1,164.68
  6. Step 6: Final answer
    x = 707.75

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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.