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Finding the Fourth Proportional to 1,300.02, 1,794.07 and 710.58

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Solution

The fourth proportional to 1,300.02, 1,794.07 and 710.58 is: 980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.02 : 1,794.07 = 710.58 : x
  2. Step 2: Convert to fraction form
    1,300.02/1,794.07 = 710.58/x
  3. Step 3: Cross multiply
    1,300.02x = 1,794.07 × 710.58
  4. Step 4: Simplify right side
    1,300.02x = 1,274,830.26
  5. Step 5: Solve for x
    x = 1,274,830.26/1,300.02
  6. Step 6: Final answer
    x = 980.62

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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.