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Finding the Fourth Proportional to 1,284.76, 1,773.12 and 761.14

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Solution

The fourth proportional to 1,284.76, 1,773.12 and 761.14 is: 1,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.76 : 1,773.12 = 761.14 : x
  2. Step 2: Convert to fraction form
    1,284.76/1,773.12 = 761.14/x
  3. Step 3: Cross multiply
    1,284.76x = 1,773.12 × 761.14
  4. Step 4: Simplify right side
    1,284.76x = 1,349,592.56
  5. Step 5: Solve for x
    x = 1,349,592.56/1,284.76
  6. Step 6: Final answer
    x = 1,050.46

Related Problems

Find fourth proportional to 642.38, 886.56 and 380.57
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.