Home / 1,525.34-2,287.76-429.71

Finding the Fourth Proportional to 1,525.34, 2,287.76 and 429.71

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Solution

The fourth proportional to 1,525.34, 2,287.76 and 429.71 is: 644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.34 : 2,287.76 = 429.71 : x
  2. Step 2: Convert to fraction form
    1,525.34/2,287.76 = 429.71/x
  3. Step 3: Cross multiply
    1,525.34x = 2,287.76 × 429.71
  4. Step 4: Simplify right side
    1,525.34x = 983,071.20
  5. Step 5: Solve for x
    x = 983,071.20/1,525.34
  6. Step 6: Final answer
    x = 644.49

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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.