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Finding the Fourth Proportional to 1,030.08, 1,421.60 and 616

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Solution

The fourth proportional to 1,030.08, 1,421.60 and 616 is: 850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.08 : 1,421.60 = 616 : x
  2. Step 2: Convert to fraction form
    1,030.08/1,421.60 = 616/x
  3. Step 3: Cross multiply
    1,030.08x = 1,421.60 × 616
  4. Step 4: Simplify right side
    1,030.08x = 875,705.60
  5. Step 5: Solve for x
    x = 875,705.60/1,030.08
  6. Step 6: Final answer
    x = 850.13

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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.