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Finding the Fourth Proportional to 1,070.55, 1,477.04 and 644.98

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Solution

The fourth proportional to 1,070.55, 1,477.04 and 644.98 is: 889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.55 : 1,477.04 = 644.98 : x
  2. Step 2: Convert to fraction form
    1,070.55/1,477.04 = 644.98/x
  3. Step 3: Cross multiply
    1,070.55x = 1,477.04 × 644.98
  4. Step 4: Simplify right side
    1,070.55x = 952,661.26
  5. Step 5: Solve for x
    x = 952,661.26/1,070.55
  6. Step 6: Final answer
    x = 889.88

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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.