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Finding the Fourth Proportional to 1,000.79, 1,501.07 and 307.46

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Solution

The fourth proportional to 1,000.79, 1,501.07 and 307.46 is: 461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.79 : 1,501.07 = 307.46 : x
  2. Step 2: Convert to fraction form
    1,000.79/1,501.07 = 307.46/x
  3. Step 3: Cross multiply
    1,000.79x = 1,501.07 × 307.46
  4. Step 4: Simplify right side
    1,000.79x = 461,511.48
  5. Step 5: Solve for x
    x = 461,511.48/1,000.79
  6. Step 6: Final answer
    x = 461.15

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1.5x scale

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.