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Finding the Fourth Proportional to 1,430.26, 2,145.71 and 772.12

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Solution

The fourth proportional to 1,430.26, 2,145.71 and 772.12 is: 1,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.26 : 2,145.71 = 772.12 : x
  2. Step 2: Convert to fraction form
    1,430.26/2,145.71 = 772.12/x
  3. Step 3: Cross multiply
    1,430.26x = 2,145.71 × 772.12
  4. Step 4: Simplify right side
    1,430.26x = 1,656,742.29
  5. Step 5: Solve for x
    x = 1,656,742.29/1,430.26
  6. Step 6: Final answer
    x = 1,158.35

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Double scale
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1.5x scale

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.