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Finding the Fourth Proportional to 881.40, 1,216.35 and 586.47

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Solution

The fourth proportional to 881.40, 1,216.35 and 586.47 is: 809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.40 : 1,216.35 = 586.47 : x
  2. Step 2: Convert to fraction form
    881.40/1,216.35 = 586.47/x
  3. Step 3: Cross multiply
    881.40x = 1,216.35 × 586.47
  4. Step 4: Simplify right side
    881.40x = 713,352.78
  5. Step 5: Solve for x
    x = 713,352.78/881.40
  6. Step 6: Final answer
    x = 809.34

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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.