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Finding the Fourth Proportional to 683.17, 1,030.69 and 649.01

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Solution

The fourth proportional to 683.17, 1,030.69 and 649.01 is: 979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.17 : 1,030.69 = 649.01 : x
  2. Step 2: Convert to fraction form
    683.17/1,030.69 = 649.01/x
  3. Step 3: Cross multiply
    683.17x = 1,030.69 × 649.01
  4. Step 4: Simplify right side
    683.17x = 668,931.50
  5. Step 5: Solve for x
    x = 668,931.50/683.17
  6. Step 6: Final answer
    x = 979.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.