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Finding the Fourth Proportional to 897.71, 1,347.71 and 692.42

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Solution

The fourth proportional to 897.71, 1,347.71 and 692.42 is: 1,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.71 : 1,347.71 = 692.42 : x
  2. Step 2: Convert to fraction form
    897.71/1,347.71 = 692.42/x
  3. Step 3: Cross multiply
    897.71x = 1,347.71 × 692.42
  4. Step 4: Simplify right side
    897.71x = 933,171.16
  5. Step 5: Solve for x
    x = 933,171.16/897.71
  6. Step 6: Final answer
    x = 1,039.51

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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.