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Finding the Fourth Proportional to 1,026.85, 1,417.09 and 584.78

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Solution

The fourth proportional to 1,026.85, 1,417.09 and 584.78 is: 807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.85 : 1,417.09 = 584.78 : x
  2. Step 2: Convert to fraction form
    1,026.85/1,417.09 = 584.78/x
  3. Step 3: Cross multiply
    1,026.85x = 1,417.09 × 584.78
  4. Step 4: Simplify right side
    1,026.85x = 828,690.16
  5. Step 5: Solve for x
    x = 828,690.16/1,026.85
  6. Step 6: Final answer
    x = 807.02

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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.