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Finding the Fourth Proportional to 1,200.02, 1,656.02 and 702.93

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Solution

The fourth proportional to 1,200.02, 1,656.02 and 702.93 is: 970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.02 : 1,656.02 = 702.93 : x
  2. Step 2: Convert to fraction form
    1,200.02/1,656.02 = 702.93/x
  3. Step 3: Cross multiply
    1,200.02x = 1,656.02 × 702.93
  4. Step 4: Simplify right side
    1,200.02x = 1,164,066.14
  5. Step 5: Solve for x
    x = 1,164,066.14/1,200.02
  6. Step 6: Final answer
    x = 970.04

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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.