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Finding the Fourth Proportional to 468.94, 700 and 430.42

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Solution

The fourth proportional to 468.94, 700 and 430.42 is: 642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.94 : 700 = 430.42 : x
  2. Step 2: Convert to fraction form
    468.94/700 = 430.42/x
  3. Step 3: Cross multiply
    468.94x = 700 × 430.42
  4. Step 4: Simplify right side
    468.94x = 301,294
  5. Step 5: Solve for x
    x = 301,294/468.94
  6. Step 6: Final answer
    x = 642.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.