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Finding the Fourth Proportional to 707.86, 1,061.74 and 317.86

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Solution

The fourth proportional to 707.86, 1,061.74 and 317.86 is: 476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.86 : 1,061.74 = 317.86 : x
  2. Step 2: Convert to fraction form
    707.86/1,061.74 = 317.86/x
  3. Step 3: Cross multiply
    707.86x = 1,061.74 × 317.86
  4. Step 4: Simplify right side
    707.86x = 337,484.68
  5. Step 5: Solve for x
    x = 337,484.68/707.86
  6. Step 6: Final answer
    x = 476.77

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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.