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Finding the Fourth Proportional to 572.01, 856.93 and 456.58

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Solution

The fourth proportional to 572.01, 856.93 and 456.58 is: 684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.01 : 856.93 = 456.58 : x
  2. Step 2: Convert to fraction form
    572.01/856.93 = 456.58/x
  3. Step 3: Cross multiply
    572.01x = 856.93 × 456.58
  4. Step 4: Simplify right side
    572.01x = 391,257.10
  5. Step 5: Solve for x
    x = 391,257.10/572.01
  6. Step 6: Final answer
    x = 684.00

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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.