Home / 1,526.31-2,289.55-430.77

Finding the Fourth Proportional to 1,526.31, 2,289.55 and 430.77

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Solution

The fourth proportional to 1,526.31, 2,289.55 and 430.77 is: 646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.31 : 2,289.55 = 430.77 : x
  2. Step 2: Convert to fraction form
    1,526.31/2,289.55 = 430.77/x
  3. Step 3: Cross multiply
    1,526.31x = 2,289.55 × 430.77
  4. Step 4: Simplify right side
    1,526.31x = 986,264.89
  5. Step 5: Solve for x
    x = 986,264.89/1,526.31
  6. Step 6: Final answer
    x = 646.18

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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.