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Finding the Fourth Proportional to 758.64, 1,046.58 and 583.68

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Solution

The fourth proportional to 758.64, 1,046.58 and 583.68 is: 805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.64 : 1,046.58 = 583.68 : x
  2. Step 2: Convert to fraction form
    758.64/1,046.58 = 583.68/x
  3. Step 3: Cross multiply
    758.64x = 1,046.58 × 583.68
  4. Step 4: Simplify right side
    758.64x = 610,867.81
  5. Step 5: Solve for x
    x = 610,867.81/758.64
  6. Step 6: Final answer
    x = 805.21

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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.