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Finding the Fourth Proportional to 869.48, 1,303.91 and 407.18

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Solution

The fourth proportional to 869.48, 1,303.91 and 407.18 is: 610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.48 : 1,303.91 = 407.18 : x
  2. Step 2: Convert to fraction form
    869.48/1,303.91 = 407.18/x
  3. Step 3: Cross multiply
    869.48x = 1,303.91 × 407.18
  4. Step 4: Simplify right side
    869.48x = 530,926.07
  5. Step 5: Solve for x
    x = 530,926.07/869.48
  6. Step 6: Final answer
    x = 610.62

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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.