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Finding the Fourth Proportional to 869.68, 1,303.36 and 435.88

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Solution

The fourth proportional to 869.68, 1,303.36 and 435.88 is: 653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.68 : 1,303.36 = 435.88 : x
  2. Step 2: Convert to fraction form
    869.68/1,303.36 = 435.88/x
  3. Step 3: Cross multiply
    869.68x = 1,303.36 × 435.88
  4. Step 4: Simplify right side
    869.68x = 568,108.56
  5. Step 5: Solve for x
    x = 568,108.56/869.68
  6. Step 6: Final answer
    x = 653.24

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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.