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Finding the Fourth Proportional to 1,300.95, 1,950.32 and 607.25

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Solution

The fourth proportional to 1,300.95, 1,950.32 and 607.25 is: 910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.95 : 1,950.32 = 607.25 : x
  2. Step 2: Convert to fraction form
    1,300.95/1,950.32 = 607.25/x
  3. Step 3: Cross multiply
    1,300.95x = 1,950.32 × 607.25
  4. Step 4: Simplify right side
    1,300.95x = 1,184,322.07
  5. Step 5: Solve for x
    x = 1,184,322.07/1,300.95
  6. Step 6: Final answer
    x = 910.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.