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Finding the Fourth Proportional to 1,110.21, 1,532.08 and 638.14

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Solution

The fourth proportional to 1,110.21, 1,532.08 and 638.14 is: 880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.21 : 1,532.08 = 638.14 : x
  2. Step 2: Convert to fraction form
    1,110.21/1,532.08 = 638.14/x
  3. Step 3: Cross multiply
    1,110.21x = 1,532.08 × 638.14
  4. Step 4: Simplify right side
    1,110.21x = 977,681.53
  5. Step 5: Solve for x
    x = 977,681.53/1,110.21
  6. Step 6: Final answer
    x = 880.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.