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Finding the Fourth Proportional to 1,045.77, 1,442.88 and 603.78

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Solution

The fourth proportional to 1,045.77, 1,442.88 and 603.78 is: 833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.77 : 1,442.88 = 603.78 : x
  2. Step 2: Convert to fraction form
    1,045.77/1,442.88 = 603.78/x
  3. Step 3: Cross multiply
    1,045.77x = 1,442.88 × 603.78
  4. Step 4: Simplify right side
    1,045.77x = 871,182.09
  5. Step 5: Solve for x
    x = 871,182.09/1,045.77
  6. Step 6: Final answer
    x = 833.05

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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.