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Finding the Fourth Proportional to 1,293.23, 1,939.65 and 471.50

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Solution

The fourth proportional to 1,293.23, 1,939.65 and 471.50 is: 707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.23 : 1,939.65 = 471.50 : x
  2. Step 2: Convert to fraction form
    1,293.23/1,939.65 = 471.50/x
  3. Step 3: Cross multiply
    1,293.23x = 1,939.65 × 471.50
  4. Step 4: Simplify right side
    1,293.23x = 914,547.60
  5. Step 5: Solve for x
    x = 914,547.60/1,293.23
  6. Step 6: Final answer
    x = 707.18

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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.