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Finding the Fourth Proportional to 810.32, 1,215.48 and 566.16

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Solution

The fourth proportional to 810.32, 1,215.48 and 566.16 is: 849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.32 : 1,215.48 = 566.16 : x
  2. Step 2: Convert to fraction form
    810.32/1,215.48 = 566.16/x
  3. Step 3: Cross multiply
    810.32x = 1,215.48 × 566.16
  4. Step 4: Simplify right side
    810.32x = 688,156.16
  5. Step 5: Solve for x
    x = 688,156.16/810.32
  6. Step 6: Final answer
    x = 849.24

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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.