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Finding the Fourth Proportional to 1,114.30, 1,669.40 and 652.30

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Solution

The fourth proportional to 1,114.30, 1,669.40 and 652.30 is: 977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.30 : 1,669.40 = 652.30 : x
  2. Step 2: Convert to fraction form
    1,114.30/1,669.40 = 652.30/x
  3. Step 3: Cross multiply
    1,114.30x = 1,669.40 × 652.30
  4. Step 4: Simplify right side
    1,114.30x = 1,088,949.62
  5. Step 5: Solve for x
    x = 1,088,949.62/1,114.30
  6. Step 6: Final answer
    x = 977.25

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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.