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Finding the Fourth Proportional to 660.94, 912.30 and 428.02

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Solution

The fourth proportional to 660.94, 912.30 and 428.02 is: 590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.94 : 912.30 = 428.02 : x
  2. Step 2: Convert to fraction form
    660.94/912.30 = 428.02/x
  3. Step 3: Cross multiply
    660.94x = 912.30 × 428.02
  4. Step 4: Simplify right side
    660.94x = 390,482.65
  5. Step 5: Solve for x
    x = 390,482.65/660.94
  6. Step 6: Final answer
    x = 590.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.