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Finding the Fourth Proportional to 1,154.67, 1,732.91 and 424.45

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Solution

The fourth proportional to 1,154.67, 1,732.91 and 424.45 is: 637.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.67 : 1,732.91 = 424.45 : x
  2. Step 2: Convert to fraction form
    1,154.67/1,732.91 = 424.45/x
  3. Step 3: Cross multiply
    1,154.67x = 1,732.91 × 424.45
  4. Step 4: Simplify right side
    1,154.67x = 735,536.08
  5. Step 5: Solve for x
    x = 735,536.08/1,154.67
  6. Step 6: Final answer
    x = 637.01

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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.