Home / 1,057.18-1,585.10-508.27

Finding the Fourth Proportional to 1,057.18, 1,585.10 and 508.27

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Solution

The fourth proportional to 1,057.18, 1,585.10 and 508.27 is: 762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.18 : 1,585.10 = 508.27 : x
  2. Step 2: Convert to fraction form
    1,057.18/1,585.10 = 508.27/x
  3. Step 3: Cross multiply
    1,057.18x = 1,585.10 × 508.27
  4. Step 4: Simplify right side
    1,057.18x = 805,656.24
  5. Step 5: Solve for x
    x = 805,656.24/1,057.18
  6. Step 6: Final answer
    x = 762.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.