Home / 1,032.40-1,424.69-590.35

Finding the Fourth Proportional to 1,032.40, 1,424.69 and 590.35

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Solution

The fourth proportional to 1,032.40, 1,424.69 and 590.35 is: 814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.40 : 1,424.69 = 590.35 : x
  2. Step 2: Convert to fraction form
    1,032.40/1,424.69 = 590.35/x
  3. Step 3: Cross multiply
    1,032.40x = 1,424.69 × 590.35
  4. Step 4: Simplify right side
    1,032.40x = 841,055.67
  5. Step 5: Solve for x
    x = 841,055.67/1,032.40
  6. Step 6: Final answer
    x = 814.66

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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.