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Finding the Fourth Proportional to 1,000.58, 1,500.61 and 307.07

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Solution

The fourth proportional to 1,000.58, 1,500.61 and 307.07 is: 460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.58 : 1,500.61 = 307.07 : x
  2. Step 2: Convert to fraction form
    1,000.58/1,500.61 = 307.07/x
  3. Step 3: Cross multiply
    1,000.58x = 1,500.61 × 307.07
  4. Step 4: Simplify right side
    1,000.58x = 460,792.31
  5. Step 5: Solve for x
    x = 460,792.31/1,000.58
  6. Step 6: Final answer
    x = 460.53

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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.