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Finding the Fourth Proportional to 873.02, 1,307.64 and 547.67

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Solution

The fourth proportional to 873.02, 1,307.64 and 547.67 is: 820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.02 : 1,307.64 = 547.67 : x
  2. Step 2: Convert to fraction form
    873.02/1,307.64 = 547.67/x
  3. Step 3: Cross multiply
    873.02x = 1,307.64 × 547.67
  4. Step 4: Simplify right side
    873.02x = 716,155.20
  5. Step 5: Solve for x
    x = 716,155.20/873.02
  6. Step 6: Final answer
    x = 820.32

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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.