Home / 1,024.27-1,412.91-631.02

Finding the Fourth Proportional to 1,024.27, 1,412.91 and 631.02

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Solution

The fourth proportional to 1,024.27, 1,412.91 and 631.02 is: 870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.27 : 1,412.91 = 631.02 : x
  2. Step 2: Convert to fraction form
    1,024.27/1,412.91 = 631.02/x
  3. Step 3: Cross multiply
    1,024.27x = 1,412.91 × 631.02
  4. Step 4: Simplify right side
    1,024.27x = 891,574.47
  5. Step 5: Solve for x
    x = 891,574.47/1,024.27
  6. Step 6: Final answer
    x = 870.45

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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.