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Finding the Fourth Proportional to 1,045.58, 1,434.63 and 1,035.78

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Solution

The fourth proportional to 1,045.58, 1,434.63 and 1,035.78 is: 1,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.58 : 1,434.63 = 1,035.78 : x
  2. Step 2: Convert to fraction form
    1,045.58/1,434.63 = 1,035.78/x
  3. Step 3: Cross multiply
    1,045.58x = 1,434.63 × 1,035.78
  4. Step 4: Simplify right side
    1,045.58x = 1,485,961.06
  5. Step 5: Solve for x
    x = 1,485,961.06/1,045.58
  6. Step 6: Final answer
    x = 1,421.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.