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Finding the Fourth Proportional to 757.64, 1,045.56 and 570.83

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Solution

The fourth proportional to 757.64, 1,045.56 and 570.83 is: 787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.64 : 1,045.56 = 570.83 : x
  2. Step 2: Convert to fraction form
    757.64/1,045.56 = 570.83/x
  3. Step 3: Cross multiply
    757.64x = 1,045.56 × 570.83
  4. Step 4: Simplify right side
    757.64x = 596,837.01
  5. Step 5: Solve for x
    x = 596,837.01/757.64
  6. Step 6: Final answer
    x = 787.76

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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.