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Finding the Fourth Proportional to 1,012.40, 1,518.68 and 464.84

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Solution

The fourth proportional to 1,012.40, 1,518.68 and 464.84 is: 697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.40 : 1,518.68 = 464.84 : x
  2. Step 2: Convert to fraction form
    1,012.40/1,518.68 = 464.84/x
  3. Step 3: Cross multiply
    1,012.40x = 1,518.68 × 464.84
  4. Step 4: Simplify right side
    1,012.40x = 705,943.21
  5. Step 5: Solve for x
    x = 705,943.21/1,012.40
  6. Step 6: Final answer
    x = 697.30

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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.