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Finding the Fourth Proportional to 1,043.22, 1,439.08 and 707.12

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Solution

The fourth proportional to 1,043.22, 1,439.08 and 707.12 is: 975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.22 : 1,439.08 = 707.12 : x
  2. Step 2: Convert to fraction form
    1,043.22/1,439.08 = 707.12/x
  3. Step 3: Cross multiply
    1,043.22x = 1,439.08 × 707.12
  4. Step 4: Simplify right side
    1,043.22x = 1,017,602.25
  5. Step 5: Solve for x
    x = 1,017,602.25/1,043.22
  6. Step 6: Final answer
    x = 975.44

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1.5x scale

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.