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Finding the Fourth Proportional to 1,045.15, 1,567.71 and 428.90

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Solution

The fourth proportional to 1,045.15, 1,567.71 and 428.90 is: 643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.15 : 1,567.71 = 428.90 : x
  2. Step 2: Convert to fraction form
    1,045.15/1,567.71 = 428.90/x
  3. Step 3: Cross multiply
    1,045.15x = 1,567.71 × 428.90
  4. Step 4: Simplify right side
    1,045.15x = 672,382.98
  5. Step 5: Solve for x
    x = 672,382.98/1,045.15
  6. Step 6: Final answer
    x = 643.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.