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Finding the Fourth Proportional to 1,200.04, 1,655.38 and 702.58

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Solution

The fourth proportional to 1,200.04, 1,655.38 and 702.58 is: 969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.04 : 1,655.38 = 702.58 : x
  2. Step 2: Convert to fraction form
    1,200.04/1,655.38 = 702.58/x
  3. Step 3: Cross multiply
    1,200.04x = 1,655.38 × 702.58
  4. Step 4: Simplify right side
    1,200.04x = 1,163,037.76
  5. Step 5: Solve for x
    x = 1,163,037.76/1,200.04
  6. Step 6: Final answer
    x = 969.17

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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.