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Finding the Fourth Proportional to 1,006.90, 1,511.16 and 390.89

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Solution

The fourth proportional to 1,006.90, 1,511.16 and 390.89 is: 586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.90 : 1,511.16 = 390.89 : x
  2. Step 2: Convert to fraction form
    1,006.90/1,511.16 = 390.89/x
  3. Step 3: Cross multiply
    1,006.90x = 1,511.16 × 390.89
  4. Step 4: Simplify right side
    1,006.90x = 590,699.64
  5. Step 5: Solve for x
    x = 590,699.64/1,006.90
  6. Step 6: Final answer
    x = 586.65

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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.