Home / 1,095.04-1,642.18-314.83

Finding the Fourth Proportional to 1,095.04, 1,642.18 and 314.83

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Solution

The fourth proportional to 1,095.04, 1,642.18 and 314.83 is: 472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.04 : 1,642.18 = 314.83 : x
  2. Step 2: Convert to fraction form
    1,095.04/1,642.18 = 314.83/x
  3. Step 3: Cross multiply
    1,095.04x = 1,642.18 × 314.83
  4. Step 4: Simplify right side
    1,095.04x = 517,005.96
  5. Step 5: Solve for x
    x = 517,005.96/1,095.04
  6. Step 6: Final answer
    x = 472.13

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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.