Home / 1,020.35-1,407.58-666.10

Finding the Fourth Proportional to 1,020.35, 1,407.58 and 666.10

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Solution

The fourth proportional to 1,020.35, 1,407.58 and 666.10 is: 918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.35 : 1,407.58 = 666.10 : x
  2. Step 2: Convert to fraction form
    1,020.35/1,407.58 = 666.10/x
  3. Step 3: Cross multiply
    1,020.35x = 1,407.58 × 666.10
  4. Step 4: Simplify right side
    1,020.35x = 937,585.71
  5. Step 5: Solve for x
    x = 937,585.71/1,020.35
  6. Step 6: Final answer
    x = 918.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.