Home / 1,586.02-2,378.76-431.50

Finding the Fourth Proportional to 1,586.02, 2,378.76 and 431.50

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Solution

The fourth proportional to 1,586.02, 2,378.76 and 431.50 is: 647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.02 : 2,378.76 = 431.50 : x
  2. Step 2: Convert to fraction form
    1,586.02/2,378.76 = 431.50/x
  3. Step 3: Cross multiply
    1,586.02x = 2,378.76 × 431.50
  4. Step 4: Simplify right side
    1,586.02x = 1,026,434.94
  5. Step 5: Solve for x
    x = 1,026,434.94/1,586.02
  6. Step 6: Final answer
    x = 647.18

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1.5x scale

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.