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Finding the Fourth Proportional to 909.23, 1,254.80 and 510.92

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Solution

The fourth proportional to 909.23, 1,254.80 and 510.92 is: 705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.23 : 1,254.80 = 510.92 : x
  2. Step 2: Convert to fraction form
    909.23/1,254.80 = 510.92/x
  3. Step 3: Cross multiply
    909.23x = 1,254.80 × 510.92
  4. Step 4: Simplify right side
    909.23x = 641,099.86
  5. Step 5: Solve for x
    x = 641,099.86/909.23
  6. Step 6: Final answer
    x = 705.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.