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Finding the Fourth Proportional to 632.61, 873.59 and 567.81

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Solution

The fourth proportional to 632.61, 873.59 and 567.81 is: 784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.61 : 873.59 = 567.81 : x
  2. Step 2: Convert to fraction form
    632.61/873.59 = 567.81/x
  3. Step 3: Cross multiply
    632.61x = 873.59 × 567.81
  4. Step 4: Simplify right side
    632.61x = 496,030.30
  5. Step 5: Solve for x
    x = 496,030.30/632.61
  6. Step 6: Final answer
    x = 784.10

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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.