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Finding the Fourth Proportional to 1,971.50, 2,957.40 and 655.20

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Solution

The fourth proportional to 1,971.50, 2,957.40 and 655.20 is: 982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.50 : 2,957.40 = 655.20 : x
  2. Step 2: Convert to fraction form
    1,971.50/2,957.40 = 655.20/x
  3. Step 3: Cross multiply
    1,971.50x = 2,957.40 × 655.20
  4. Step 4: Simplify right side
    1,971.50x = 1,937,688.48
  5. Step 5: Solve for x
    x = 1,937,688.48/1,971.50
  6. Step 6: Final answer
    x = 982.85

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1.5x scale

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.