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Finding the Fourth Proportional to 1,348.36, 1,860.62 and 758.77

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Solution

The fourth proportional to 1,348.36, 1,860.62 and 758.77 is: 1,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.36 : 1,860.62 = 758.77 : x
  2. Step 2: Convert to fraction form
    1,348.36/1,860.62 = 758.77/x
  3. Step 3: Cross multiply
    1,348.36x = 1,860.62 × 758.77
  4. Step 4: Simplify right side
    1,348.36x = 1,411,774.19
  5. Step 5: Solve for x
    x = 1,411,774.19/1,348.36
  6. Step 6: Final answer
    x = 1,047.03

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Half scale
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Double 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.