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Finding the Fourth Proportional to 1,295.98, 1,942.08 and 710.49

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Solution

The fourth proportional to 1,295.98, 1,942.08 and 710.49 is: 1,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.98 : 1,942.08 = 710.49 : x
  2. Step 2: Convert to fraction form
    1,295.98/1,942.08 = 710.49/x
  3. Step 3: Cross multiply
    1,295.98x = 1,942.08 × 710.49
  4. Step 4: Simplify right side
    1,295.98x = 1,379,828.42
  5. Step 5: Solve for x
    x = 1,379,828.42/1,295.98
  6. Step 6: Final answer
    x = 1,064.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.