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Finding the Fourth Proportional to 567.86, 783.51 and 334.94

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Solution

The fourth proportional to 567.86, 783.51 and 334.94 is: 462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.86 : 783.51 = 334.94 : x
  2. Step 2: Convert to fraction form
    567.86/783.51 = 334.94/x
  3. Step 3: Cross multiply
    567.86x = 783.51 × 334.94
  4. Step 4: Simplify right side
    567.86x = 262,428.84
  5. Step 5: Solve for x
    x = 262,428.84/567.86
  6. Step 6: Final answer
    x = 462.14

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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.