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Finding the Fourth Proportional to 1,070.58, 1,476.99 and 628.32

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Solution

The fourth proportional to 1,070.58, 1,476.99 and 628.32 is: 866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.58 : 1,476.99 = 628.32 : x
  2. Step 2: Convert to fraction form
    1,070.58/1,476.99 = 628.32/x
  3. Step 3: Cross multiply
    1,070.58x = 1,476.99 × 628.32
  4. Step 4: Simplify right side
    1,070.58x = 928,022.36
  5. Step 5: Solve for x
    x = 928,022.36/1,070.58
  6. Step 6: Final answer
    x = 866.84

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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.