Home / 1,565.29-2,158.65-1,004.77

Finding the Fourth Proportional to 1,565.29, 2,158.65 and 1,004.77

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Solution

The fourth proportional to 1,565.29, 2,158.65 and 1,004.77 is: 1,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.29 : 2,158.65 = 1,004.77 : x
  2. Step 2: Convert to fraction form
    1,565.29/2,158.65 = 1,004.77/x
  3. Step 3: Cross multiply
    1,565.29x = 2,158.65 × 1,004.77
  4. Step 4: Simplify right side
    1,565.29x = 2,168,946.76
  5. Step 5: Solve for x
    x = 2,168,946.76/1,565.29
  6. Step 6: Final answer
    x = 1,385.65

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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.