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Finding the Fourth Proportional to 680.46, 1,015.75 and 598.45

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Solution

The fourth proportional to 680.46, 1,015.75 and 598.45 is: 893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.46 : 1,015.75 = 598.45 : x
  2. Step 2: Convert to fraction form
    680.46/1,015.75 = 598.45/x
  3. Step 3: Cross multiply
    680.46x = 1,015.75 × 598.45
  4. Step 4: Simplify right side
    680.46x = 607,871.55
  5. Step 5: Solve for x
    x = 607,871.55/680.46
  6. Step 6: Final answer
    x = 893.32

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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.