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Finding the Fourth Proportional to 1,000.77, 1,501.37 and 307.49

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Solution

The fourth proportional to 1,000.77, 1,501.37 and 307.49 is: 461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.77 : 1,501.37 = 307.49 : x
  2. Step 2: Convert to fraction form
    1,000.77/1,501.37 = 307.49/x
  3. Step 3: Cross multiply
    1,000.77x = 1,501.37 × 307.49
  4. Step 4: Simplify right side
    1,000.77x = 461,656.26
  5. Step 5: Solve for x
    x = 461,656.26/1,000.77
  6. Step 6: Final answer
    x = 461.30

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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.