Home / 1,165.13-1,746.66-434.74

Finding the Fourth Proportional to 1,165.13, 1,746.66 and 434.74

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Solution

The fourth proportional to 1,165.13, 1,746.66 and 434.74 is: 651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.13 : 1,746.66 = 434.74 : x
  2. Step 2: Convert to fraction form
    1,165.13/1,746.66 = 434.74/x
  3. Step 3: Cross multiply
    1,165.13x = 1,746.66 × 434.74
  4. Step 4: Simplify right side
    1,165.13x = 759,340.79
  5. Step 5: Solve for x
    x = 759,340.79/1,165.13
  6. Step 6: Final answer
    x = 651.72

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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.