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Finding the Fourth Proportional to 993.40, 1,490.14 and 473.46

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Solution

The fourth proportional to 993.40, 1,490.14 and 473.46 is: 710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.40 : 1,490.14 = 473.46 : x
  2. Step 2: Convert to fraction form
    993.40/1,490.14 = 473.46/x
  3. Step 3: Cross multiply
    993.40x = 1,490.14 × 473.46
  4. Step 4: Simplify right side
    993.40x = 705,519.32
  5. Step 5: Solve for x
    x = 705,519.32/993.40
  6. Step 6: Final answer
    x = 710.20

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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.