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Finding the Fourth Proportional to 1,148.76, 1,585.08 and 651.42

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Solution

The fourth proportional to 1,148.76, 1,585.08 and 651.42 is: 898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.76 : 1,585.08 = 651.42 : x
  2. Step 2: Convert to fraction form
    1,148.76/1,585.08 = 651.42/x
  3. Step 3: Cross multiply
    1,148.76x = 1,585.08 × 651.42
  4. Step 4: Simplify right side
    1,148.76x = 1,032,552.81
  5. Step 5: Solve for x
    x = 1,032,552.81/1,148.76
  6. Step 6: Final answer
    x = 898.84

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Find fourth proportional to 574.38, 792.54 and 325.71
Half scale
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Double scale
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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.