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Finding the Fourth Proportional to 1,026.77, 1,416.74 and 677.25

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Solution

The fourth proportional to 1,026.77, 1,416.74 and 677.25 is: 934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.77 : 1,416.74 = 677.25 : x
  2. Step 2: Convert to fraction form
    1,026.77/1,416.74 = 677.25/x
  3. Step 3: Cross multiply
    1,026.77x = 1,416.74 × 677.25
  4. Step 4: Simplify right side
    1,026.77x = 959,483.78
  5. Step 5: Solve for x
    x = 959,483.78/1,026.77
  6. Step 6: Final answer
    x = 934.47

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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.