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Finding the Fourth Proportional to 1,050.40, 1,450.52 and 678.02

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Solution

The fourth proportional to 1,050.40, 1,450.52 and 678.02 is: 936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.40 : 1,450.52 = 678.02 : x
  2. Step 2: Convert to fraction form
    1,050.40/1,450.52 = 678.02/x
  3. Step 3: Cross multiply
    1,050.40x = 1,450.52 × 678.02
  4. Step 4: Simplify right side
    1,050.40x = 983,486.89
  5. Step 5: Solve for x
    x = 983,486.89/1,050.40
  6. Step 6: Final answer
    x = 936.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.