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Finding the Fourth Proportional to 580.12, 801.58 and 456.12

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Solution

The fourth proportional to 580.12, 801.58 and 456.12 is: 630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.12 : 801.58 = 456.12 : x
  2. Step 2: Convert to fraction form
    580.12/801.58 = 456.12/x
  3. Step 3: Cross multiply
    580.12x = 801.58 × 456.12
  4. Step 4: Simplify right side
    580.12x = 365,616.67
  5. Step 5: Solve for x
    x = 365,616.67/580.12
  6. Step 6: Final answer
    x = 630.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.