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Finding the Fourth Proportional to 654.90, 978.02 and 619.36

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Solution

The fourth proportional to 654.90, 978.02 and 619.36 is: 924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.90 : 978.02 = 619.36 : x
  2. Step 2: Convert to fraction form
    654.90/978.02 = 619.36/x
  3. Step 3: Cross multiply
    654.90x = 978.02 × 619.36
  4. Step 4: Simplify right side
    654.90x = 605,746.47
  5. Step 5: Solve for x
    x = 605,746.47/654.90
  6. Step 6: Final answer
    x = 924.94

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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.