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Finding the Fourth Proportional to 987.53, 1,482.98 and 946.25

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Solution

The fourth proportional to 987.53, 1,482.98 and 946.25 is: 1,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.53 : 1,482.98 = 946.25 : x
  2. Step 2: Convert to fraction form
    987.53/1,482.98 = 946.25/x
  3. Step 3: Cross multiply
    987.53x = 1,482.98 × 946.25
  4. Step 4: Simplify right side
    987.53x = 1,403,269.83
  5. Step 5: Solve for x
    x = 1,403,269.83/987.53
  6. Step 6: Final answer
    x = 1,420.99

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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.