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Finding the Fourth Proportional to 977.11, 1,347.99 and 583.91

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Solution

The fourth proportional to 977.11, 1,347.99 and 583.91 is: 805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.11 : 1,347.99 = 583.91 : x
  2. Step 2: Convert to fraction form
    977.11/1,347.99 = 583.91/x
  3. Step 3: Cross multiply
    977.11x = 1,347.99 × 583.91
  4. Step 4: Simplify right side
    977.11x = 787,095.18
  5. Step 5: Solve for x
    x = 787,095.18/977.11
  6. Step 6: Final answer
    x = 805.53

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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.