Home / 1,053.04-1,585.84-917.72

Finding the Fourth Proportional to 1,053.04, 1,585.84 and 917.72

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Solution

The fourth proportional to 1,053.04, 1,585.84 and 917.72 is: 1,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.04 : 1,585.84 = 917.72 : x
  2. Step 2: Convert to fraction form
    1,053.04/1,585.84 = 917.72/x
  3. Step 3: Cross multiply
    1,053.04x = 1,585.84 × 917.72
  4. Step 4: Simplify right side
    1,053.04x = 1,455,357.08
  5. Step 5: Solve for x
    x = 1,455,357.08/1,053.04
  6. Step 6: Final answer
    x = 1,382.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.