Home / 1,050.32-1,574.20-465.04

Finding the Fourth Proportional to 1,050.32, 1,574.20 and 465.04

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Solution

The fourth proportional to 1,050.32, 1,574.20 and 465.04 is: 696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.32 : 1,574.20 = 465.04 : x
  2. Step 2: Convert to fraction form
    1,050.32/1,574.20 = 465.04/x
  3. Step 3: Cross multiply
    1,050.32x = 1,574.20 × 465.04
  4. Step 4: Simplify right side
    1,050.32x = 732,065.97
  5. Step 5: Solve for x
    x = 732,065.97/1,050.32
  6. Step 6: Final answer
    x = 696.99

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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.