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Finding the Fourth Proportional to 784.65, 1,176.43 and 471.59

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Solution

The fourth proportional to 784.65, 1,176.43 and 471.59 is: 707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.65 : 1,176.43 = 471.59 : x
  2. Step 2: Convert to fraction form
    784.65/1,176.43 = 471.59/x
  3. Step 3: Cross multiply
    784.65x = 1,176.43 × 471.59
  4. Step 4: Simplify right side
    784.65x = 554,792.62
  5. Step 5: Solve for x
    x = 554,792.62/784.65
  6. Step 6: Final answer
    x = 707.06

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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.