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Finding the Fourth Proportional to 595.16, 820.52 and 417.89

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Solution

The fourth proportional to 595.16, 820.52 and 417.89 is: 576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.16 : 820.52 = 417.89 : x
  2. Step 2: Convert to fraction form
    595.16/820.52 = 417.89/x
  3. Step 3: Cross multiply
    595.16x = 820.52 × 417.89
  4. Step 4: Simplify right side
    595.16x = 342,880.91
  5. Step 5: Solve for x
    x = 342,880.91/595.16
  6. Step 6: Final answer
    x = 576.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.