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Finding the Fourth Proportional to 1,042.89, 1,564.32 and 312.45

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Solution

The fourth proportional to 1,042.89, 1,564.32 and 312.45 is: 468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.89 : 1,564.32 = 312.45 : x
  2. Step 2: Convert to fraction form
    1,042.89/1,564.32 = 312.45/x
  3. Step 3: Cross multiply
    1,042.89x = 1,564.32 × 312.45
  4. Step 4: Simplify right side
    1,042.89x = 488,771.78
  5. Step 5: Solve for x
    x = 488,771.78/1,042.89
  6. Step 6: Final answer
    x = 468.67

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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.