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Finding the Fourth Proportional to 572.90, 854.86 and 538.08

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Solution

The fourth proportional to 572.90, 854.86 and 538.08 is: 802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.90 : 854.86 = 538.08 : x
  2. Step 2: Convert to fraction form
    572.90/854.86 = 538.08/x
  3. Step 3: Cross multiply
    572.90x = 854.86 × 538.08
  4. Step 4: Simplify right side
    572.90x = 459,983.07
  5. Step 5: Solve for x
    x = 459,983.07/572.90
  6. Step 6: Final answer
    x = 802.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.