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Finding the Fourth Proportional to 651.80, 899.64 and 430.64

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Solution

The fourth proportional to 651.80, 899.64 and 430.64 is: 594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.80 : 899.64 = 430.64 : x
  2. Step 2: Convert to fraction form
    651.80/899.64 = 430.64/x
  3. Step 3: Cross multiply
    651.80x = 899.64 × 430.64
  4. Step 4: Simplify right side
    651.80x = 387,420.97
  5. Step 5: Solve for x
    x = 387,420.97/651.80
  6. Step 6: Final answer
    x = 594.39

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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.