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Finding the Fourth Proportional to 601.46, 898.04 and 510.20

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Solution

The fourth proportional to 601.46, 898.04 and 510.20 is: 761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.46 : 898.04 = 510.20 : x
  2. Step 2: Convert to fraction form
    601.46/898.04 = 510.20/x
  3. Step 3: Cross multiply
    601.46x = 898.04 × 510.20
  4. Step 4: Simplify right side
    601.46x = 458,172.97
  5. Step 5: Solve for x
    x = 458,172.97/601.46
  6. Step 6: Final answer
    x = 761.77

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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.