Home / 1,525.04-2,287.30-429.16

Finding the Fourth Proportional to 1,525.04, 2,287.30 and 429.16

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Solution

The fourth proportional to 1,525.04, 2,287.30 and 429.16 is: 643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.04 : 2,287.30 = 429.16 : x
  2. Step 2: Convert to fraction form
    1,525.04/2,287.30 = 429.16/x
  3. Step 3: Cross multiply
    1,525.04x = 2,287.30 × 429.16
  4. Step 4: Simplify right side
    1,525.04x = 981,617.67
  5. Step 5: Solve for x
    x = 981,617.67/1,525.04
  6. Step 6: Final answer
    x = 643.67

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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.