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Finding the Fourth Proportional to 649.12, 978.55 and 607.36

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Solution

The fourth proportional to 649.12, 978.55 and 607.36 is: 915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.12 : 978.55 = 607.36 : x
  2. Step 2: Convert to fraction form
    649.12/978.55 = 607.36/x
  3. Step 3: Cross multiply
    649.12x = 978.55 × 607.36
  4. Step 4: Simplify right side
    649.12x = 594,332.13
  5. Step 5: Solve for x
    x = 594,332.13/649.12
  6. Step 6: Final answer
    x = 915.60

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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.