Home / 1,830.72-2,746.52-532.20

Finding the Fourth Proportional to 1,830.72, 2,746.52 and 532.20

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Solution

The fourth proportional to 1,830.72, 2,746.52 and 532.20 is: 798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.72 : 2,746.52 = 532.20 : x
  2. Step 2: Convert to fraction form
    1,830.72/2,746.52 = 532.20/x
  3. Step 3: Cross multiply
    1,830.72x = 2,746.52 × 532.20
  4. Step 4: Simplify right side
    1,830.72x = 1,461,697.94
  5. Step 5: Solve for x
    x = 1,461,697.94/1,830.72
  6. Step 6: Final answer
    x = 798.43

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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.