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Finding the Fourth Proportional to 1,070.50, 1,605.99 and 386.50

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Solution

The fourth proportional to 1,070.50, 1,605.99 and 386.50 is: 579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.50 : 1,605.99 = 386.50 : x
  2. Step 2: Convert to fraction form
    1,070.50/1,605.99 = 386.50/x
  3. Step 3: Cross multiply
    1,070.50x = 1,605.99 × 386.50
  4. Step 4: Simplify right side
    1,070.50x = 620,715.14
  5. Step 5: Solve for x
    x = 620,715.14/1,070.50
  6. Step 6: Final answer
    x = 579.84

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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.