Home / 1,530.90-2,296.37-435.29

Finding the Fourth Proportional to 1,530.90, 2,296.37 and 435.29

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Solution

The fourth proportional to 1,530.90, 2,296.37 and 435.29 is: 652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.90 : 2,296.37 = 435.29 : x
  2. Step 2: Convert to fraction form
    1,530.90/2,296.37 = 435.29/x
  3. Step 3: Cross multiply
    1,530.90x = 2,296.37 × 435.29
  4. Step 4: Simplify right side
    1,530.90x = 999,589.42
  5. Step 5: Solve for x
    x = 999,589.42/1,530.90
  6. Step 6: Final answer
    x = 652.94

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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.