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Finding the Fourth Proportional to 541.76, 807.64 and 510.71

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Solution

The fourth proportional to 541.76, 807.64 and 510.71 is: 761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.76 : 807.64 = 510.71 : x
  2. Step 2: Convert to fraction form
    541.76/807.64 = 510.71/x
  3. Step 3: Cross multiply
    541.76x = 807.64 × 510.71
  4. Step 4: Simplify right side
    541.76x = 412,464.51
  5. Step 5: Solve for x
    x = 412,464.51/541.76
  6. Step 6: Final answer
    x = 761.35

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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.