Home / 1,026.23-1,416.20-584.15

Finding the Fourth Proportional to 1,026.23, 1,416.20 and 584.15

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Solution

The fourth proportional to 1,026.23, 1,416.20 and 584.15 is: 806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.23 : 1,416.20 = 584.15 : x
  2. Step 2: Convert to fraction form
    1,026.23/1,416.20 = 584.15/x
  3. Step 3: Cross multiply
    1,026.23x = 1,416.20 × 584.15
  4. Step 4: Simplify right side
    1,026.23x = 827,267.61
  5. Step 5: Solve for x
    x = 827,267.61/1,026.23
  6. Step 6: Final answer
    x = 806.12

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1.5x scale

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.