Home / 1,056.14-1,582.84-507.34

Finding the Fourth Proportional to 1,056.14, 1,582.84 and 507.34

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Solution

The fourth proportional to 1,056.14, 1,582.84 and 507.34 is: 760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.14 : 1,582.84 = 507.34 : x
  2. Step 2: Convert to fraction form
    1,056.14/1,582.84 = 507.34/x
  3. Step 3: Cross multiply
    1,056.14x = 1,582.84 × 507.34
  4. Step 4: Simplify right side
    1,056.14x = 803,036.21
  5. Step 5: Solve for x
    x = 803,036.21/1,056.14
  6. Step 6: Final answer
    x = 760.35

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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.