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Finding the Fourth Proportional to 1,045.94, 1,443.46 and 580.19

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Solution

The fourth proportional to 1,045.94, 1,443.46 and 580.19 is: 800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.94 : 1,443.46 = 580.19 : x
  2. Step 2: Convert to fraction form
    1,045.94/1,443.46 = 580.19/x
  3. Step 3: Cross multiply
    1,045.94x = 1,443.46 × 580.19
  4. Step 4: Simplify right side
    1,045.94x = 837,478.17
  5. Step 5: Solve for x
    x = 837,478.17/1,045.94
  6. Step 6: Final answer
    x = 800.70

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