Home / 1,153.04-1,730.40-459.31

Finding the Fourth Proportional to 1,153.04, 1,730.40 and 459.31

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Solution

The fourth proportional to 1,153.04, 1,730.40 and 459.31 is: 689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.04 : 1,730.40 = 459.31 : x
  2. Step 2: Convert to fraction form
    1,153.04/1,730.40 = 459.31/x
  3. Step 3: Cross multiply
    1,153.04x = 1,730.40 × 459.31
  4. Step 4: Simplify right side
    1,153.04x = 794,789.67
  5. Step 5: Solve for x
    x = 794,789.67/1,153.04
  6. Step 6: Final answer
    x = 689.30

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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.