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Finding the Fourth Proportional to 545.46, 752.28 and 462.75

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Solution

The fourth proportional to 545.46, 752.28 and 462.75 is: 638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.46 : 752.28 = 462.75 : x
  2. Step 2: Convert to fraction form
    545.46/752.28 = 462.75/x
  3. Step 3: Cross multiply
    545.46x = 752.28 × 462.75
  4. Step 4: Simplify right side
    545.46x = 348,117.57
  5. Step 5: Solve for x
    x = 348,117.57/545.46
  6. Step 6: Final answer
    x = 638.21

Related Problems

Find fourth proportional to 272.73, 376.14 and 231.38
Half scale
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Double scale
Find fourth proportional to 546.46, 753.66 and 463.75
Similar ratio
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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.