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Finding the Fourth Proportional to 567.88, 783.58 and 381.69

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Solution

The fourth proportional to 567.88, 783.58 and 381.69 is: 526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.88 : 783.58 = 381.69 : x
  2. Step 2: Convert to fraction form
    567.88/783.58 = 381.69/x
  3. Step 3: Cross multiply
    567.88x = 783.58 × 381.69
  4. Step 4: Simplify right side
    567.88x = 299,084.65
  5. Step 5: Solve for x
    x = 299,084.65/567.88
  6. Step 6: Final answer
    x = 526.67

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Double scale
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1.5x scale

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.