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Finding the Fourth Proportional to 1,239.42, 1,710.24 and 708.24

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Solution

The fourth proportional to 1,239.42, 1,710.24 and 708.24 is: 977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.42 : 1,710.24 = 708.24 : x
  2. Step 2: Convert to fraction form
    1,239.42/1,710.24 = 708.24/x
  3. Step 3: Cross multiply
    1,239.42x = 1,710.24 × 708.24
  4. Step 4: Simplify right side
    1,239.42x = 1,211,260.38
  5. Step 5: Solve for x
    x = 1,211,260.38/1,239.42
  6. Step 6: Final answer
    x = 977.28

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Half scale
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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.