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Finding the Fourth Proportional to 832.68, 1,148.94 and 570.60

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Solution

The fourth proportional to 832.68, 1,148.94 and 570.60 is: 787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.68 : 1,148.94 = 570.60 : x
  2. Step 2: Convert to fraction form
    832.68/1,148.94 = 570.60/x
  3. Step 3: Cross multiply
    832.68x = 1,148.94 × 570.60
  4. Step 4: Simplify right side
    832.68x = 655,585.16
  5. Step 5: Solve for x
    x = 655,585.16/832.68
  6. Step 6: Final answer
    x = 787.32

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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.