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Finding the Fourth Proportional to 873.45, 1,307.96 and 564.89

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Solution

The fourth proportional to 873.45, 1,307.96 and 564.89 is: 845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.45 : 1,307.96 = 564.89 : x
  2. Step 2: Convert to fraction form
    873.45/1,307.96 = 564.89/x
  3. Step 3: Cross multiply
    873.45x = 1,307.96 × 564.89
  4. Step 4: Simplify right side
    873.45x = 738,844.16
  5. Step 5: Solve for x
    x = 738,844.16/873.45
  6. Step 6: Final answer
    x = 845.89

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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.