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Finding the Fourth Proportional to 1,312.02, 1,967.42 and 489.70

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Solution

The fourth proportional to 1,312.02, 1,967.42 and 489.70 is: 734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.02 : 1,967.42 = 489.70 : x
  2. Step 2: Convert to fraction form
    1,312.02/1,967.42 = 489.70/x
  3. Step 3: Cross multiply
    1,312.02x = 1,967.42 × 489.70
  4. Step 4: Simplify right side
    1,312.02x = 963,438.21
  5. Step 5: Solve for x
    x = 963,438.21/1,312.02
  6. Step 6: Final answer
    x = 734.32

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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.