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Finding the Fourth Proportional to 624.10, 875.90 and 624.10

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Solution

The fourth proportional to 624.10, 875.90 and 624.10 is: 875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.10 : 875.90 = 624.10 : x
  2. Step 2: Convert to fraction form
    624.10/875.90 = 624.10/x
  3. Step 3: Cross multiply
    624.10x = 875.90 × 624.10
  4. Step 4: Simplify right side
    624.10x = 546,649.19
  5. Step 5: Solve for x
    x = 546,649.19/624.10
  6. Step 6: Final answer
    x = 875.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.