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Finding the Fourth Proportional to 649.37, 978.95 and 607.61

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Solution

The fourth proportional to 649.37, 978.95 and 607.61 is: 916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.37 : 978.95 = 607.61 : x
  2. Step 2: Convert to fraction form
    649.37/978.95 = 607.61/x
  3. Step 3: Cross multiply
    649.37x = 978.95 × 607.61
  4. Step 4: Simplify right side
    649.37x = 594,819.81
  5. Step 5: Solve for x
    x = 594,819.81/649.37
  6. Step 6: Final answer
    x = 916.00

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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.