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Finding the Fourth Proportional to 541.08, 807.84 and 503.28

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Solution

The fourth proportional to 541.08, 807.84 and 503.28 is: 751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.08 : 807.84 = 503.28 : x
  2. Step 2: Convert to fraction form
    541.08/807.84 = 503.28/x
  3. Step 3: Cross multiply
    541.08x = 807.84 × 503.28
  4. Step 4: Simplify right side
    541.08x = 406,569.72
  5. Step 5: Solve for x
    x = 406,569.72/541.08
  6. Step 6: Final answer
    x = 751.40

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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.