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Finding the Fourth Proportional to 806.76, 1,113.36 and 457.56

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Solution

The fourth proportional to 806.76, 1,113.36 and 457.56 is: 631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.76 : 1,113.36 = 457.56 : x
  2. Step 2: Convert to fraction form
    806.76/1,113.36 = 457.56/x
  3. Step 3: Cross multiply
    806.76x = 1,113.36 × 457.56
  4. Step 4: Simplify right side
    806.76x = 509,429.00
  5. Step 5: Solve for x
    x = 509,429.00/806.76
  6. Step 6: Final answer
    x = 631.45

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Find fourth proportional to 403.38, 556.68 and 228.78
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.