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Finding the Fourth Proportional to 654.93, 977.63 and 603.90

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Solution

The fourth proportional to 654.93, 977.63 and 603.90 is: 901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.93 : 977.63 = 603.90 : x
  2. Step 2: Convert to fraction form
    654.93/977.63 = 603.90/x
  3. Step 3: Cross multiply
    654.93x = 977.63 × 603.90
  4. Step 4: Simplify right side
    654.93x = 590,387.74
  5. Step 5: Solve for x
    x = 590,387.74/654.93
  6. Step 6: Final answer
    x = 901.45

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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.