Home / 1,526.40-2,289.30-500.40

Finding the Fourth Proportional to 1,526.40, 2,289.30 and 500.40

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Solution

The fourth proportional to 1,526.40, 2,289.30 and 500.40 is: 750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.40 : 2,289.30 = 500.40 : x
  2. Step 2: Convert to fraction form
    1,526.40/2,289.30 = 500.40/x
  3. Step 3: Cross multiply
    1,526.40x = 2,289.30 × 500.40
  4. Step 4: Simplify right side
    1,526.40x = 1,145,565.72
  5. Step 5: Solve for x
    x = 1,145,565.72/1,526.40
  6. Step 6: Final answer
    x = 750.50

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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.