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Finding the Fourth Proportional to 1,020.36, 1,529.78 and 507.72

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Solution

The fourth proportional to 1,020.36, 1,529.78 and 507.72 is: 761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.36 : 1,529.78 = 507.72 : x
  2. Step 2: Convert to fraction form
    1,020.36/1,529.78 = 507.72/x
  3. Step 3: Cross multiply
    1,020.36x = 1,529.78 × 507.72
  4. Step 4: Simplify right side
    1,020.36x = 776,699.90
  5. Step 5: Solve for x
    x = 776,699.90/1,020.36
  6. Step 6: Final answer
    x = 761.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.