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Finding the Fourth Proportional to 518.64, 713.88 and 430.32

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Solution

The fourth proportional to 518.64, 713.88 and 430.32 is: 592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.64 : 713.88 = 430.32 : x
  2. Step 2: Convert to fraction form
    518.64/713.88 = 430.32/x
  3. Step 3: Cross multiply
    518.64x = 713.88 × 430.32
  4. Step 4: Simplify right side
    518.64x = 307,196.84
  5. Step 5: Solve for x
    x = 307,196.84/518.64
  6. Step 6: Final answer
    x = 592.31

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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.