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Finding the Fourth Proportional to 697.63, 1,045.36 and 389.29

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Solution

The fourth proportional to 697.63, 1,045.36 and 389.29 is: 583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.63 : 1,045.36 = 389.29 : x
  2. Step 2: Convert to fraction form
    697.63/1,045.36 = 389.29/x
  3. Step 3: Cross multiply
    697.63x = 1,045.36 × 389.29
  4. Step 4: Simplify right side
    697.63x = 406,948.19
  5. Step 5: Solve for x
    x = 406,948.19/697.63
  6. Step 6: Final answer
    x = 583.33

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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.