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Finding the Fourth Proportional to 707.47, 973.87 and 612.91

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Solution

The fourth proportional to 707.47, 973.87 and 612.91 is: 843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.47 : 973.87 = 612.91 : x
  2. Step 2: Convert to fraction form
    707.47/973.87 = 612.91/x
  3. Step 3: Cross multiply
    707.47x = 973.87 × 612.91
  4. Step 4: Simplify right side
    707.47x = 596,894.66
  5. Step 5: Solve for x
    x = 596,894.66/707.47
  6. Step 6: Final answer
    x = 843.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.