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Finding the Fourth Proportional to 632.42, 946.47 and 577.65

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Solution

The fourth proportional to 632.42, 946.47 and 577.65 is: 864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.42 : 946.47 = 577.65 : x
  2. Step 2: Convert to fraction form
    632.42/946.47 = 577.65/x
  3. Step 3: Cross multiply
    632.42x = 946.47 × 577.65
  4. Step 4: Simplify right side
    632.42x = 546,728.40
  5. Step 5: Solve for x
    x = 546,728.40/632.42
  6. Step 6: Final answer
    x = 864.50

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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.