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Finding the Fourth Proportional to 572.64, 858.48 and 469.68

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Solution

The fourth proportional to 572.64, 858.48 and 469.68 is: 704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.64 : 858.48 = 469.68 : x
  2. Step 2: Convert to fraction form
    572.64/858.48 = 469.68/x
  3. Step 3: Cross multiply
    572.64x = 858.48 × 469.68
  4. Step 4: Simplify right side
    572.64x = 403,210.89
  5. Step 5: Solve for x
    x = 403,210.89/572.64
  6. Step 6: Final answer
    x = 704.13

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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.