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Finding the Fourth Proportional to 981.02, 1,472.04 and 973.53

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Solution

The fourth proportional to 981.02, 1,472.04 and 973.53 is: 1,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.02 : 1,472.04 = 973.53 : x
  2. Step 2: Convert to fraction form
    981.02/1,472.04 = 973.53/x
  3. Step 3: Cross multiply
    981.02x = 1,472.04 × 973.53
  4. Step 4: Simplify right side
    981.02x = 1,433,075.10
  5. Step 5: Solve for x
    x = 1,433,075.10/981.02
  6. Step 6: Final answer
    x = 1,460.80

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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.