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Finding the Fourth Proportional to 1,070.37, 1,477.08 and 628.25

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Solution

The fourth proportional to 1,070.37, 1,477.08 and 628.25 is: 866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.37 : 1,477.08 = 628.25 : x
  2. Step 2: Convert to fraction form
    1,070.37/1,477.08 = 628.25/x
  3. Step 3: Cross multiply
    1,070.37x = 1,477.08 × 628.25
  4. Step 4: Simplify right side
    1,070.37x = 927,968.12
  5. Step 5: Solve for x
    x = 927,968.12/1,070.37
  6. Step 6: Final answer
    x = 866.96

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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.