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Finding the Fourth Proportional to 856.68, 1,281.24 and 509.16

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Solution

The fourth proportional to 856.68, 1,281.24 and 509.16 is: 761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.68 : 1,281.24 = 509.16 : x
  2. Step 2: Convert to fraction form
    856.68/1,281.24 = 509.16/x
  3. Step 3: Cross multiply
    856.68x = 1,281.24 × 509.16
  4. Step 4: Simplify right side
    856.68x = 652,356.16
  5. Step 5: Solve for x
    x = 652,356.16/856.68
  6. Step 6: Final answer
    x = 761.49

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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.