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Finding the Fourth Proportional to 1,326.76, 1,830.74 and 767.24

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Solution

The fourth proportional to 1,326.76, 1,830.74 and 767.24 is: 1,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.76 : 1,830.74 = 767.24 : x
  2. Step 2: Convert to fraction form
    1,326.76/1,830.74 = 767.24/x
  3. Step 3: Cross multiply
    1,326.76x = 1,830.74 × 767.24
  4. Step 4: Simplify right side
    1,326.76x = 1,404,616.96
  5. Step 5: Solve for x
    x = 1,404,616.96/1,326.76
  6. Step 6: Final answer
    x = 1,058.68

Related Problems

Find fourth proportional to 663.38, 915.37 and 383.62
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.