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Finding the Fourth Proportional to 1,071.30, 1,607.88 and 610.01

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Solution

The fourth proportional to 1,071.30, 1,607.88 and 610.01 is: 915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.30 : 1,607.88 = 610.01 : x
  2. Step 2: Convert to fraction form
    1,071.30/1,607.88 = 610.01/x
  3. Step 3: Cross multiply
    1,071.30x = 1,607.88 × 610.01
  4. Step 4: Simplify right side
    1,071.30x = 980,814.84
  5. Step 5: Solve for x
    x = 980,814.84/1,071.30
  6. Step 6: Final answer
    x = 915.54

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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.