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Finding the Fourth Proportional to 560.07, 840.12 and 285.79

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Solution

The fourth proportional to 560.07, 840.12 and 285.79 is: 428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.07 : 840.12 = 285.79 : x
  2. Step 2: Convert to fraction form
    560.07/840.12 = 285.79/x
  3. Step 3: Cross multiply
    560.07x = 840.12 × 285.79
  4. Step 4: Simplify right side
    560.07x = 240,097.89
  5. Step 5: Solve for x
    x = 240,097.89/560.07
  6. Step 6: Final answer
    x = 428.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.