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Finding the Fourth Proportional to 567.64, 783.02 and 392.68

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Solution

The fourth proportional to 567.64, 783.02 and 392.68 is: 541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.64 : 783.02 = 392.68 : x
  2. Step 2: Convert to fraction form
    567.64/783.02 = 392.68/x
  3. Step 3: Cross multiply
    567.64x = 783.02 × 392.68
  4. Step 4: Simplify right side
    567.64x = 307,476.29
  5. Step 5: Solve for x
    x = 307,476.29/567.64
  6. Step 6: Final answer
    x = 541.67

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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.