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Finding the Fourth Proportional to 873.02, 1,307.70 and 411.20

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Solution

The fourth proportional to 873.02, 1,307.70 and 411.20 is: 615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.02 : 1,307.70 = 411.20 : x
  2. Step 2: Convert to fraction form
    873.02/1,307.70 = 411.20/x
  3. Step 3: Cross multiply
    873.02x = 1,307.70 × 411.20
  4. Step 4: Simplify right side
    873.02x = 537,726.24
  5. Step 5: Solve for x
    x = 537,726.24/873.02
  6. Step 6: Final answer
    x = 615.94

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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.