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Finding the Fourth Proportional to 977.06, 1,347.74 and 604.26

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Solution

The fourth proportional to 977.06, 1,347.74 and 604.26 is: 833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.06 : 1,347.74 = 604.26 : x
  2. Step 2: Convert to fraction form
    977.06/1,347.74 = 604.26/x
  3. Step 3: Cross multiply
    977.06x = 1,347.74 × 604.26
  4. Step 4: Simplify right side
    977.06x = 814,384.62
  5. Step 5: Solve for x
    x = 814,384.62/977.06
  6. Step 6: Final answer
    x = 833.50

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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.