Home / 1,730.19-2,595.24-431.66

Finding the Fourth Proportional to 1,730.19, 2,595.24 and 431.66

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Solution

The fourth proportional to 1,730.19, 2,595.24 and 431.66 is: 647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.19 : 2,595.24 = 431.66 : x
  2. Step 2: Convert to fraction form
    1,730.19/2,595.24 = 431.66/x
  3. Step 3: Cross multiply
    1,730.19x = 2,595.24 × 431.66
  4. Step 4: Simplify right side
    1,730.19x = 1,120,248.32
  5. Step 5: Solve for x
    x = 1,120,248.32/1,730.19
  6. Step 6: Final answer
    x = 647.47

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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.