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Finding the Fourth Proportional to 1,071.10, 1,607.05 and 485.93

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Solution

The fourth proportional to 1,071.10, 1,607.05 and 485.93 is: 729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.10 : 1,607.05 = 485.93 : x
  2. Step 2: Convert to fraction form
    1,071.10/1,607.05 = 485.93/x
  3. Step 3: Cross multiply
    1,071.10x = 1,607.05 × 485.93
  4. Step 4: Simplify right side
    1,071.10x = 780,913.81
  5. Step 5: Solve for x
    x = 780,913.81/1,071.10
  6. Step 6: Final answer
    x = 729.08

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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.