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Finding the Fourth Proportional to 678.83, 935.87 and 430.02

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Solution

The fourth proportional to 678.83, 935.87 and 430.02 is: 592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.83 : 935.87 = 430.02 : x
  2. Step 2: Convert to fraction form
    678.83/935.87 = 430.02/x
  3. Step 3: Cross multiply
    678.83x = 935.87 × 430.02
  4. Step 4: Simplify right side
    678.83x = 402,440.67
  5. Step 5: Solve for x
    x = 402,440.67/678.83
  6. Step 6: Final answer
    x = 592.85

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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.