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Finding the Fourth Proportional to 624.50, 858.62 and 557.50

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Solution

The fourth proportional to 624.50, 858.62 and 557.50 is: 766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.50 : 858.62 = 557.50 : x
  2. Step 2: Convert to fraction form
    624.50/858.62 = 557.50/x
  3. Step 3: Cross multiply
    624.50x = 858.62 × 557.50
  4. Step 4: Simplify right side
    624.50x = 478,680.65
  5. Step 5: Solve for x
    x = 478,680.65/624.50
  6. Step 6: Final answer
    x = 766.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.