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Finding the Fourth Proportional to 1,026, 1,415.87 and 583.82

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Solution

The fourth proportional to 1,026, 1,415.87 and 583.82 is: 805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026 : 1,415.87 = 583.82 : x
  2. Step 2: Convert to fraction form
    1,026/1,415.87 = 583.82/x
  3. Step 3: Cross multiply
    1,026x = 1,415.87 × 583.82
  4. Step 4: Simplify right side
    1,026x = 826,603.22
  5. Step 5: Solve for x
    x = 826,603.22/1,026
  6. Step 6: Final answer
    x = 805.66

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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.