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Finding the Fourth Proportional to 869.84, 1,303.80 and 436.72

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Solution

The fourth proportional to 869.84, 1,303.80 and 436.72 is: 654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.84 : 1,303.80 = 436.72 : x
  2. Step 2: Convert to fraction form
    869.84/1,303.80 = 436.72/x
  3. Step 3: Cross multiply
    869.84x = 1,303.80 × 436.72
  4. Step 4: Simplify right side
    869.84x = 569,395.54
  5. Step 5: Solve for x
    x = 569,395.54/869.84
  6. Step 6: Final answer
    x = 654.60

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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.