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Finding the Fourth Proportional to 591.32, 883.64 and 577.64

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Solution

The fourth proportional to 591.32, 883.64 and 577.64 is: 863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.32 : 883.64 = 577.64 : x
  2. Step 2: Convert to fraction form
    591.32/883.64 = 577.64/x
  3. Step 3: Cross multiply
    591.32x = 883.64 × 577.64
  4. Step 4: Simplify right side
    591.32x = 510,425.81
  5. Step 5: Solve for x
    x = 510,425.81/591.32
  6. Step 6: Final answer
    x = 863.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.