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Finding the Fourth Proportional to 646.84, 972.08 and 603.12

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Solution

The fourth proportional to 646.84, 972.08 and 603.12 is: 906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.84 : 972.08 = 603.12 : x
  2. Step 2: Convert to fraction form
    646.84/972.08 = 603.12/x
  3. Step 3: Cross multiply
    646.84x = 972.08 × 603.12
  4. Step 4: Simplify right side
    646.84x = 586,280.89
  5. Step 5: Solve for x
    x = 586,280.89/646.84
  6. Step 6: Final answer
    x = 906.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.