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Finding the Fourth Proportional to 1,045.38, 1,564.32 and 983.10

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Solution

The fourth proportional to 1,045.38, 1,564.32 and 983.10 is: 1,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.38 : 1,564.32 = 983.10 : x
  2. Step 2: Convert to fraction form
    1,045.38/1,564.32 = 983.10/x
  3. Step 3: Cross multiply
    1,045.38x = 1,564.32 × 983.10
  4. Step 4: Simplify right side
    1,045.38x = 1,537,882.99
  5. Step 5: Solve for x
    x = 1,537,882.99/1,045.38
  6. Step 6: Final answer
    x = 1,471.12

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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.