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Finding the Fourth Proportional to 624.30, 856.12 and 592.71

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Solution

The fourth proportional to 624.30, 856.12 and 592.71 is: 812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.30 : 856.12 = 592.71 : x
  2. Step 2: Convert to fraction form
    624.30/856.12 = 592.71/x
  3. Step 3: Cross multiply
    624.30x = 856.12 × 592.71
  4. Step 4: Simplify right side
    624.30x = 507,430.89
  5. Step 5: Solve for x
    x = 507,430.89/624.30
  6. Step 6: Final answer
    x = 812.80

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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.